Algebraic design theory:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Math. Soc.
2011
|
| Schriftenreihe: | Mathematical surveys and monographs
175 |
| Schlagworte: |
Combinatorics
> Explicit machine computation and programs (not the theory of computation or programming)
Linear and multilinear algebra; matrix theory
> Basic linear algebra
> Matrix equations and identities
Associative rings and algebras
> Rings and algebras arising under various constructions
> None of the above, but in this section
|
| Online-Zugang: | Klappentext Inhaltsverzeichnis |
| Beschreibung: | X, 298 S. |
| ISBN: | 9780821844960 |
Internformat
MARC
| LEADER | 00000nam a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV039718173 | ||
| 003 | DE-604 | ||
| 005 | 20230828 | ||
| 007 | t | ||
| 008 | 111122s2011 xxu |||| 00||| eng d | ||
| 010 | |a 2011014837 | ||
| 020 | |a 9780821844960 |c alk. paper |9 978-0-8218-4496-0 | ||
| 035 | |a (OCoLC)720899099 | ||
| 035 | |a (DE-599)BVBBV039718173 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 044 | |a xxu |c US | ||
| 049 | |a DE-703 |a DE-824 |a DE-523 | ||
| 050 | 0 | |a QA166.25 | |
| 082 | 0 | |a 511/.6 | |
| 084 | |a SK 200 |0 (DE-625)143223: |2 rvk | ||
| 100 | 1 | |a De Launey, Warwick |d 1958-2010 |e Verfasser |0 (DE-588)1029581509 |4 aut | |
| 245 | 1 | 0 | |a Algebraic design theory |c Warwick de Launey ; Dane Flannery |
| 264 | 1 | |a Providence, RI |b American Math. Soc. |c 2011 | |
| 300 | |a X, 298 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Mathematical surveys and monographs |v 175 | |
| 650 | 4 | |a Combinatorial designs and configurations | |
| 650 | 7 | |a Combinatorics -- Research exposition (monographs, survey articles) |2 msc | |
| 650 | 7 | |a Combinatorics -- Designs and configurations -- Designs and configurations |2 msc | |
| 650 | 7 | |a Combinatorics -- Algebraic combinatorics -- Group actions on combinatorial structures |2 msc | |
| 650 | 7 | |a Associative rings and algebras -- General and miscellaneous -- None of the above, but in this section |2 msc | |
| 650 | 7 | |a Group theory and generalizations -- Abstract finite groups -- Abstract finite groups |2 msc | |
| 650 | 7 | |a Combinatorics -- Explicit machine computation and programs (not the theory of computation or programming) |2 msc | |
| 650 | 7 | |a Linear and multilinear algebra; matrix theory -- Basic linear algebra -- Matrix equations and identities |2 msc | |
| 650 | 7 | |a Associative rings and algebras -- Rings and algebras arising under various constructions -- None of the above, but in this section |2 msc | |
| 650 | 7 | |a Group theory and generalizations -- Permutation groups -- Multiply transitive finite groups |2 msc | |
| 650 | 7 | |a Group theory and generalizations -- Connections with homological algebra and category theory -- Cohomology of groups |2 msc | |
| 650 | 0 | 7 | |a Kombinatorische Designtheorie |0 (DE-588)4164747-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Algebra |0 (DE-588)4001156-2 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Algebra |0 (DE-588)4001156-2 |D s |
| 689 | 0 | 1 | |a Kombinatorische Designtheorie |0 (DE-588)4164747-6 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Flannery, Dane |d 1965- |e Verfasser |0 (DE-588)173145426 |4 aut | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |z 978-1-4704-1402-3 |
| 830 | 0 | |a Mathematical surveys and monographs |v 175 |w (DE-604)BV000018014 |9 175 | |
| 856 | 4 | 2 | |m Digitalisierung UB Bayreuth |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024566327&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Klappentext |
| 856 | 4 | 2 | |m Digitalisierung UB Bayreuth |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024566327&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-024566327 | ||
Datensatz im Suchindex
| _version_ | 1804148595779174400 |
|---|---|
| adam_text | Contents
Preface
Chapter
1.
Overview
1
1.1.
What is a combinatorial design?
1
1.2.
What is Algebraic Design Theory?
1
1.3.
What is in this book?
2
Chapter
2.
Many Kinds of Pairwise Combinatorial Designs
7
2.1.
Orthogonality sets
7
2.2.
Symmetric balanced incomplete block designs
9
2.3.
Hadamard
matrices
H
2.4.
Weighing matrices
12
2.5.
Balanced weighing matrices
13
2.6.
Orthogonal designs
14
2.7.
Complex
Hadamard
matrices
16
2.8.
Complex generalized
Hadamard
matrices
18
2.9.
Complex generalized weighing matrices
19
2.10.
Generalized
Hadamard
matrices over groups
19
2.11.
Balanced generalized weighing matrices
22
2.12.
Generalized weighing matrices
23
2.13.
Summary
24
Chapter
3.
A Primer for Algebraic Design Theory
27
3.1.
Groups
27
3.2.
Monoids
34
3.3.
Group actions
35
39
41
42
44
49
49
50
51
54
60
Chapter
5.
Modeling A-Equivalence
63
5.1.
A first look at the automorphism group
63
5.2.
Ambient rings with a model for
Л
-equivalence
65
3.4.
Rings
3.5.
Matrices
3.6.
Linear and related groups
3.7.
Representations
Chapter
4.
Orthogonality
4.1.
How many rows can be pairwise
Л
-orthogonal?
4.2.
Non-trivial orthogonality sets
4.3.
A big picture
4.4.
Equivalence
4.5.
Matrices, arrays, and designs
vi
CONTENTS
5.3.
Ambient
rings for the familiar orthogonality sets
68
Chapter
6.
The Grammian
71
6.1.
Orthogonality as a Grammian property
71
6.2.
Non-degeneracy
72
6.3.
Gram completions and composition of orthogonality sets
73
6.4.
The Gram Property and
Л
-equivalence
74
Chapter
7.
Transposability
77
7.1.
The main problems
77
7.2.
A functional approach to self-duality
78
7.3.
Conjugate equivalence operations
80
7.4.
A matrix algebra approach to transposability and self-duality
80
7.5.
A different kind of transposable orthogonality set
82
Chapter
8.
New Designs from Old
85
8.1.
Composition
85
8.2.
Transference
93
Chapter
9.
Automorphism Groups
99
9.1.
Automorphism groups of pairwise combinatorial designs
99
9.2.
A class of generalized
Hadamard
matrices
100
9.3.
A bound on the size of the automorphism group
103
9.4.
Permutation automorphism groups
105
9.5.
Automorphism groups of orthogonal designs
106
9.6.
Expanded designs
108
9.7.
Computing automorphism groups
112
9.8.
The associated design
114
9.9.
Associated designs and group divisible designs
116
9.10.
An isomorphism for weighing matrices
117
Chapter
10.
Group Development and Regular Actions on Arrays
119
10.1.
Matrix preliminaries
119
10.2.
Group-developed arrays
119
10.3.
Regular embeddings
121
10.4.
Difference sets and relative difference sets
124
10.5.
Group ring equations and associates
127
10.6.
Finding all associates of an array
129
10.7.
An algorithm for solving Problems
10.2.3
and
10.2.4 131
10.8.
Composition via associates
132
Chapter
11.
Origins of Cocyclic Development
135
11.1.
First derivation
135
11.2.
Second derivation
140
11.3.
Cocycles for cyclic groups
142
Chapter
12.
Group Extensions and Cocycles
145
12.1.
Central extensions
145
12.2.
Cocycles for product groups
150
12.3.
Polycyclic presentations
151
12.4.
Cocycles from collection in polycyclic groups
153
CONTENTS
vii
12.5.
Monomial representations and cocycles
157
Chapter
13.
Cocyclic Pairwise Combinatorial Designs
161
13.1.
The main definitions
161
13.2.
Ambient rings with a central group
162
13.3.
Some big problems
164
13.4.
Central extensions of a design
164
13.5.
Approaches to cocyclic designs
165
Chapter
14.
Centrally Regular Actions
167
14.1.
Cocyclic forms
167
14.2.
A lesser expanded design
167
14.3.
A pair of lifting homomorphisms
168
14.4.
The lift
169
14.5.
Translation
170
14.6.
Centrally regular embeddings
171
14.7.
Finding cocyclic forms
173
14.8.
All the cocycles of a design
176
Chapter
15.
Cocyclic Associates
177
15.1.
Definition of cocyclic associates
177
15.2.
The group ring equation for cocyclic associates
178
15.3.
The familiar designs
180
15.4.
Cocyclic designs and relative difference sets
181
15.5.
Normal p-complements
182
15.6.
Existence conditions for cocyclic
Hadamard
matrices
183
15.7.
Cyclotomic rings and
circulant
complex
Hadamard
matrices
185
15.8.
Composition of cocyclic associates
190
Chapter
16.
Special Classes of Cocyclic Designs
195
16.1.
Cocyclic
Hadamard
matrices
195
16.2.
Cocyclic weighing matrices
197
16.3.
Cocyclic orthogonal designs
198
16.4.
A cocyclic substitution scheme
200
16.5.
Cocyclic complex
Hadamard
matrices
201
Chapter
17.
The Paley Matrices
203
17.1.
Actions of 2-dimensional linear and
semilinear
groups
203
17.2.
The Paley matrices and their automorphism groups
205
17.3.
The regular actions
209
Chapter
18.
A Large Family of Cocyclic
Hadamard
Matrices
215
18.1.
On the orders covered
215
18.2.
A construction for prime powers congruent to
3
(mod
4) 216
18.3.
A construction for prime powers congruent to
1
(mod
4) 218
18.4.
Plug-in matrices
220
18.5.
Proof of the main theorem and a generalization
221
Chapter
19.
Substitution Schemes for Cocyclic
Hadamard
Matrices
223
19.1.
General substitution schemes
224
19.2.
Number-theoretic constraints
226
viii CONTENTS
19.3.
Further results for group-developed plug-in matrices
227
19.4.
Inverting action
228
19.5.
Trivial action
230
19.6.
Complementary pairs and the Cocyclic
Hadamard
Conjecture
232
19.7.
Existence of group-developed complementary pairs
233
Chapter
20.
Calculating Cocyclic Development Rules
239
20.1.
Introduction to development tables
239
20.2.
Development tables for abelian groups
240
20.3.
Development tables revisited
241
20.4.
Group cohomology
242
20.5.
Constructing a free table
243
20.6.
Group homology
244
20.7.
Presentations and the
Schur
multiplier
246
20.8.
Constructing a torsion table
249
20.9.
Listing the elements of the second cohomology group
253
20.10.
Another look at the Cocyclic
Hadamard
Conjecture
255
Chapter
21.
Cocyclic
Hadamard
Matrices Indexed by Elementary Abelian
Groups
257
21.1.
Motivation: indexing groups for the Sylvester matrices
257
21.2.
The extension problem
258
21.3.
Pure
Hadamard
collection cocycles
261
21.4.
Bilinearity and
Hadamard
cocycles
262
21.5.
Solution of the
Hadamard cocycle
problem
263
Chapter
22.
Cocyclic Concordant Systems of Orthogonal Designs
267
22.1.
Existence and uniqueness of cocyclic systems of OD(ra; lfe)
267
22.2.
A reduction
268
22.3.
Solution of the reduced problem
269
22.4.
Proof of Theorem
22.1.1 270
22.5.
Removing the zeros
271
22.6.
Examples
272
Chapter
23.
Asymptotic Existence of Cocyclic
Hadamard
Matrices
279
23.1.
Complex sequences with zero aperiodic autocorrelation
279
23.2.
Sets of Hermitian and skew-Hermitian
circulant
matrices
281
23.3.
Sets of cocyclic signed permutation matrices
282
23.4.
Existence of cocyclic complex
Hadamard
matrices
283
23.5.
Concluding remarks
284
Bibliography
287
Index
295
|
| any_adam_object | 1 |
| author | De Launey, Warwick 1958-2010 Flannery, Dane 1965- |
| author_GND | (DE-588)1029581509 (DE-588)173145426 |
| author_facet | De Launey, Warwick 1958-2010 Flannery, Dane 1965- |
| author_role | aut aut |
| author_sort | De Launey, Warwick 1958-2010 |
| author_variant | l w d lw lwd d f df |
| building | Verbundindex |
| bvnumber | BV039718173 |
| callnumber-first | Q - Science |
| callnumber-label | QA166 |
| callnumber-raw | QA166.25 |
| callnumber-search | QA166.25 |
| callnumber-sort | QA 3166.25 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 200 |
| ctrlnum | (OCoLC)720899099 (DE-599)BVBBV039718173 |
| dewey-full | 511/.6 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511/.6 |
| dewey-search | 511/.6 |
| dewey-sort | 3511 16 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03211nam a2200577zcb4500</leader><controlfield tag="001">BV039718173</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20230828 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">111122s2011 xxu |||| 00||| eng d</controlfield><datafield tag="010" ind1=" " ind2=" "><subfield code="a">2011014837</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780821844960</subfield><subfield code="c">alk. paper</subfield><subfield code="9">978-0-8218-4496-0</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)720899099</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV039718173</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">xxu</subfield><subfield code="c">US</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-703</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-523</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA166.25</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">511/.6</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 200</subfield><subfield code="0">(DE-625)143223:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">De Launey, Warwick</subfield><subfield code="d">1958-2010</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1029581509</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Algebraic design theory</subfield><subfield code="c">Warwick de Launey ; Dane Flannery</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Providence, RI</subfield><subfield code="b">American Math. Soc.</subfield><subfield code="c">2011</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">X, 298 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Mathematical surveys and monographs</subfield><subfield code="v">175</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Combinatorial designs and configurations</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Combinatorics -- Research exposition (monographs, survey articles)</subfield><subfield code="2">msc</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Combinatorics -- Designs and configurations -- Designs and configurations</subfield><subfield code="2">msc</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Combinatorics -- Algebraic combinatorics -- Group actions on combinatorial structures</subfield><subfield code="2">msc</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Associative rings and algebras -- General and miscellaneous -- None of the above, but in this section</subfield><subfield code="2">msc</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Group theory and generalizations -- Abstract finite groups -- Abstract finite groups</subfield><subfield code="2">msc</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Combinatorics -- Explicit machine computation and programs (not the theory of computation or programming)</subfield><subfield code="2">msc</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Linear and multilinear algebra; matrix theory -- Basic linear algebra -- Matrix equations and identities</subfield><subfield code="2">msc</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Associative rings and algebras -- Rings and algebras arising under various constructions -- None of the above, but in this section</subfield><subfield code="2">msc</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Group theory and generalizations -- Permutation groups -- Multiply transitive finite groups</subfield><subfield code="2">msc</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Group theory and generalizations -- Connections with homological algebra and category theory -- Cohomology of groups</subfield><subfield code="2">msc</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Kombinatorische Designtheorie</subfield><subfield code="0">(DE-588)4164747-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Algebra</subfield><subfield code="0">(DE-588)4001156-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Algebra</subfield><subfield code="0">(DE-588)4001156-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Kombinatorische Designtheorie</subfield><subfield code="0">(DE-588)4164747-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Flannery, Dane</subfield><subfield code="d">1965-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)173145426</subfield><subfield code="4">aut</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Online-Ausgabe</subfield><subfield code="z">978-1-4704-1402-3</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Mathematical surveys and monographs</subfield><subfield code="v">175</subfield><subfield code="w">(DE-604)BV000018014</subfield><subfield code="9">175</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Digitalisierung UB Bayreuth</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024566327&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Klappentext</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Digitalisierung UB Bayreuth</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024566327&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-024566327</subfield></datafield></record></collection> |
| id | DE-604.BV039718173 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T00:09:38Z |
| institution | BVB |
| isbn | 9780821844960 |
| language | English |
| lccn | 2011014837 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-024566327 |
| oclc_num | 720899099 |
| open_access_boolean | |
| owner | DE-703 DE-824 DE-523 |
| owner_facet | DE-703 DE-824 DE-523 |
| physical | X, 298 S. |
| publishDate | 2011 |
| publishDateSearch | 2011 |
| publishDateSort | 2011 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | Mathematical surveys and monographs |
| series2 | Mathematical surveys and monographs |
| spelling | De Launey, Warwick 1958-2010 Verfasser (DE-588)1029581509 aut Algebraic design theory Warwick de Launey ; Dane Flannery Providence, RI American Math. Soc. 2011 X, 298 S. txt rdacontent n rdamedia nc rdacarrier Mathematical surveys and monographs 175 Combinatorial designs and configurations Combinatorics -- Research exposition (monographs, survey articles) msc Combinatorics -- Designs and configurations -- Designs and configurations msc Combinatorics -- Algebraic combinatorics -- Group actions on combinatorial structures msc Associative rings and algebras -- General and miscellaneous -- None of the above, but in this section msc Group theory and generalizations -- Abstract finite groups -- Abstract finite groups msc Combinatorics -- Explicit machine computation and programs (not the theory of computation or programming) msc Linear and multilinear algebra; matrix theory -- Basic linear algebra -- Matrix equations and identities msc Associative rings and algebras -- Rings and algebras arising under various constructions -- None of the above, but in this section msc Group theory and generalizations -- Permutation groups -- Multiply transitive finite groups msc Group theory and generalizations -- Connections with homological algebra and category theory -- Cohomology of groups msc Kombinatorische Designtheorie (DE-588)4164747-6 gnd rswk-swf Algebra (DE-588)4001156-2 gnd rswk-swf Algebra (DE-588)4001156-2 s Kombinatorische Designtheorie (DE-588)4164747-6 s DE-604 Flannery, Dane 1965- Verfasser (DE-588)173145426 aut Erscheint auch als Online-Ausgabe 978-1-4704-1402-3 Mathematical surveys and monographs 175 (DE-604)BV000018014 175 Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024566327&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Klappentext Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024566327&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | De Launey, Warwick 1958-2010 Flannery, Dane 1965- Algebraic design theory Mathematical surveys and monographs Combinatorial designs and configurations Combinatorics -- Research exposition (monographs, survey articles) msc Combinatorics -- Designs and configurations -- Designs and configurations msc Combinatorics -- Algebraic combinatorics -- Group actions on combinatorial structures msc Associative rings and algebras -- General and miscellaneous -- None of the above, but in this section msc Group theory and generalizations -- Abstract finite groups -- Abstract finite groups msc Combinatorics -- Explicit machine computation and programs (not the theory of computation or programming) msc Linear and multilinear algebra; matrix theory -- Basic linear algebra -- Matrix equations and identities msc Associative rings and algebras -- Rings and algebras arising under various constructions -- None of the above, but in this section msc Group theory and generalizations -- Permutation groups -- Multiply transitive finite groups msc Group theory and generalizations -- Connections with homological algebra and category theory -- Cohomology of groups msc Kombinatorische Designtheorie (DE-588)4164747-6 gnd Algebra (DE-588)4001156-2 gnd |
| subject_GND | (DE-588)4164747-6 (DE-588)4001156-2 |
| title | Algebraic design theory |
| title_auth | Algebraic design theory |
| title_exact_search | Algebraic design theory |
| title_full | Algebraic design theory Warwick de Launey ; Dane Flannery |
| title_fullStr | Algebraic design theory Warwick de Launey ; Dane Flannery |
| title_full_unstemmed | Algebraic design theory Warwick de Launey ; Dane Flannery |
| title_short | Algebraic design theory |
| title_sort | algebraic design theory |
| topic | Combinatorial designs and configurations Combinatorics -- Research exposition (monographs, survey articles) msc Combinatorics -- Designs and configurations -- Designs and configurations msc Combinatorics -- Algebraic combinatorics -- Group actions on combinatorial structures msc Associative rings and algebras -- General and miscellaneous -- None of the above, but in this section msc Group theory and generalizations -- Abstract finite groups -- Abstract finite groups msc Combinatorics -- Explicit machine computation and programs (not the theory of computation or programming) msc Linear and multilinear algebra; matrix theory -- Basic linear algebra -- Matrix equations and identities msc Associative rings and algebras -- Rings and algebras arising under various constructions -- None of the above, but in this section msc Group theory and generalizations -- Permutation groups -- Multiply transitive finite groups msc Group theory and generalizations -- Connections with homological algebra and category theory -- Cohomology of groups msc Kombinatorische Designtheorie (DE-588)4164747-6 gnd Algebra (DE-588)4001156-2 gnd |
| topic_facet | Combinatorial designs and configurations Combinatorics -- Research exposition (monographs, survey articles) Combinatorics -- Designs and configurations -- Designs and configurations Combinatorics -- Algebraic combinatorics -- Group actions on combinatorial structures Associative rings and algebras -- General and miscellaneous -- None of the above, but in this section Group theory and generalizations -- Abstract finite groups -- Abstract finite groups Combinatorics -- Explicit machine computation and programs (not the theory of computation or programming) Linear and multilinear algebra; matrix theory -- Basic linear algebra -- Matrix equations and identities Associative rings and algebras -- Rings and algebras arising under various constructions -- None of the above, but in this section Group theory and generalizations -- Permutation groups -- Multiply transitive finite groups Group theory and generalizations -- Connections with homological algebra and category theory -- Cohomology of groups Kombinatorische Designtheorie Algebra |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024566327&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024566327&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000018014 |
| work_keys_str_mv | AT delauneywarwick algebraicdesigntheory AT flannerydane algebraicdesigntheory |