Group theory, algebra, and number theory: Colloquium in Memory of Hans Zassenhaus, held in Saarbrücken, Germany, June 4-5, 1993
Saved in:
| Format: | Conference Proceeding Book |
|---|---|
| Language: | English |
| Published: |
Berlin [u.a.]
de Gruyter
1996
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XX, 201 S. Ill. |
| ISBN: | 3110153475 |
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MARC
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| 245 | 1 | 0 | |a Group theory, algebra, and number theory |b Colloquium in Memory of Hans Zassenhaus, held in Saarbrücken, Germany, June 4-5, 1993 |c ed. Horst G. Zimmer |
| 264 | 1 | |a Berlin [u.a.] |b de Gruyter |c 1996 | |
| 300 | |a XX, 201 S. |b Ill. | ||
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Record in the Search Index
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| adam_text |
TABLE
OF
CONTENTS
H
ORST
G.
Z
IMMER
INTRODUCTORY
ADDRESS
.
XI
H
ORST
T
IETZ
AFTER-DINNER
SPEECH
.
XVII
P
HAM
H
UU
T
IEP
ON
THE
SOLVABILITY
OF
THE
KERNEL
OF
ANY
ORTHOGONAL
DECOMPOSITION
1.
INTRODUCTION
.
1
2.
LIE
ALGEBRAS
OF
TYPES
B
N
,C
N
,
AND
D
N
.
3
3.
EXCEPTIONAL
LIE
ALGEBRAS
.
4
4.
LIE
ALGEBRAS
OF
TYPE
A
N
.
7
REFERENCES
.
12
A
LEXEI
I.
K
OSTRIKIN
THE
BEGINNINGS
OF
MODULAR
LIE ALGEBRA
THEORY
1.
INTRODUCTION
.
13
2.
ZASSENHAUS
ALGEBRA
.
15
3.
LIE
ALGEBRAS
OF
CARTAN
TYPE
.
19
4.
DERIVATIONS
.
22
5.
SANDWICHES,
FILTRATIONS,
'
CLASSICALITY
'
CRITERION
.
26
6.
LINEAR
REPRESENTATIONS
AND
CARTAN
PROLONGATIONS
.
33
7.
LIE
ALGEBRAS
OVER
FIELDS
OF
SMALL
CHARACTERISTIC
.
37
7.1.
CHARACTERISTIC
P
=
5
.
37
7.2.
CHARACTERISTIC
P
=
3
.
38
7.3.
CHARACTERISTIC
P
=
2
.
42
8.
MISCELLANEOUS
.
44
REFERENCES
.
45
VIII
TABLE
OF
CONTENTS
M
ICHAEL
E.
P
OHST
COMPUTING
INVARIANTS
OF
ALGEBRAIC NUMBER
FIELDS
1.
INTRODUCTION
.
53
2,
GALOIS
GROUPS
.
54
2.1.
(B)
APPROXIMATION
OF
T
FROM
BELOW
.
55
2.2.
(A)
APPROXIMATION
OF
T
FROM
ABOVE
AND
VERIFICATION
.
56
3.
INTEGRAL
BASIS
.
57
3.1.
ROUND
2-METHOD
.
58
3.2.
ROUND
4-METHOD
.
60
4.
UNIT
GROUP
AND
CLASS
GROUP
.
61
4.1.
METHOD
I
(ASSUMING
GRH)
.
64
4.2.
METHOD
II
(UNCONDITIONAL)
.
65
5.
EXAMPLES
AND
APPLICATIONS
.
69
REFERENCES
.
71
W
ILHELM
P
LESKEN
KRISTALLOGRAPHISCHE
GRUPPEN
1.
EINLEITUNG
.
75
2.
DIE
PERIODE
BIS
1950
AUS
HEUTIGER
SICHT
.
75
3.
DIE
VIERDIMENSIONALEN
RAUMGRUPPEN
.
81
4.
SPATERE
ENTWICKLUNGEN
.
84
5.
BEISPIELE
VON
BRAVAISMANNIGFALTIGKEITEN
.
86
LITERATUR
.
94
H
ELMUT
B
ENDER
ENDLICHE
FASTKORPER
UND ZASSENHAUSGRUPPEN
1.
EINLEITUNG
.
97
2.
ZUR
KOMMUTATIVITAT
ENDLICHER
DIVISIONSRINGE
.
99
3.
GRUPPEN
MIT
PARTITION
.
102
4.
MEHR
UBER
FIXPUNKTFREIE
OPERATION
.
107
5.
GRUPPEN
MIT
P^-BEDINGUNG
.
110
6.
AUSNAHMECHARAKTERE
UND
DER
SL2(5)-SATZ
VON
ZASSENHAUS
.
118
TABLE
OF
CONTENTS
IX
7.
DAS
ISOMORPHIEPROBLEM
.
123
8.
DIE
2-DIMENSIONALEN
LINEAREN
GRUPPEN
UND
DER
SL2(5)-SATZ
VON
DICKSON
.
.
126
9.
VOLLSTANDIGE
FASTKORPER
.
131
10.
ZASSENHAUSGRUPPEN
.136
LITERATUR
.
141
K
LAUS
H
OECHSMANN
ON
THE ARITHMETIC
OF
COMMUTATIVE
GROUP
RINGS
1.
INTRODUCTION
.146
2.
CONSTRUCTIBLE
UNITS
.149
3.
CYCLIC
P-GROUPS
.
152
4.
FUNCTORS
ON
CYCLOTOMIC
ALGEBRAS
.
157
4.1.
ADMISSIBLE
FUNCTORS
.
158
4.2.
CYCLOGENIC
FUNCTORS
.
160
5.
LOCAL
UNITS
AND
LOGARITHMS
.
163
5.1.
POLARIZED
BASES
.
163
5.2.
LOGARITHMS
AND
APPLICATIONS
.166
6.
REGULAR
PRIMES
.170
6.1.
ARITHMETICAL
BACKGROUND
.
170
6.2.
ABELIAN
P-GROUPS
.172
7.
IRREGULAR
PRIMES
.
176
7.1.
A
CONVERSE
.
176
7.2.
NON-CONSTRUCTIBLE
UNITS
.
179
8.
LOCAL
UNITS
AND
GLOBAL
IDEAL
CLASSES
.182
8.1.
NORMAL
BASES
FOR
LOCAL
UNITS
.179
8.2.
COMPARISON
WITH
GLOBAL
UNITS
.
186
8.3.
KERNEL
GROUPS
.
189
9.
CYCLIC
GROUPS
OF
COMPOSITE
ORDER
.
191
9.1.
AN
EXACT
SEQUENCE
.
191
9.2.
EVEN
ORDER
.
193
9.3.
ODD
ORDER
.
195
REFERENCES
.199 |
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| classification_rvk | SD 1993 SK 200 |
| ctrlnum | (OCoLC)35741599 (DE-599)BVBBV011008756 |
| dewey-full | 512 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512 |
| dewey-search | 512 |
| dewey-sort | 3512 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Conference Proceeding Book |
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| genre_facet | Festschrift Konferenzschrift 1993 Saarbrücken |
| id | DE-604.BV011008756 |
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| indexdate | 2025-01-10T13:18:42Z |
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| physical | XX, 201 S. Ill. |
| publishDate | 1996 |
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| publisher | de Gruyter |
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| spelling | Group theory, algebra, and number theory Colloquium in Memory of Hans Zassenhaus, held in Saarbrücken, Germany, June 4-5, 1993 ed. Horst G. Zimmer Berlin [u.a.] de Gruyter 1996 XX, 201 S. Ill. txt rdacontent n rdamedia nc rdacarrier Groupes, Théorie des - Congrès ram Algebra Congresses Group theory Congresses Number theory Congresses Gruppentheorie (DE-588)4072157-7 gnd rswk-swf Algebra (DE-588)4001156-2 gnd rswk-swf Zahlentheorie (DE-588)4067277-3 gnd rswk-swf (DE-588)4016928-5 Festschrift gnd-content (DE-588)1071861417 Konferenzschrift 1993 Saarbrücken gnd-content Gruppentheorie (DE-588)4072157-7 s Algebra (DE-588)4001156-2 s Zahlentheorie (DE-588)4067277-3 s 1\p DE-604 DE-604 Zimmer, Horst Günter 1937-2016 Sonstige (DE-588)117727369 oth Zassenhaus, Hans 1912-1991 (DE-588)119439204 hnr Colloquium in Memory of Hans Zassenhaus 1993 Saarbrücken Sonstige (DE-588)2159221-4 oth DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007371128&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Group theory, algebra, and number theory Colloquium in Memory of Hans Zassenhaus, held in Saarbrücken, Germany, June 4-5, 1993 Groupes, Théorie des - Congrès ram Algebra Congresses Group theory Congresses Number theory Congresses Gruppentheorie (DE-588)4072157-7 gnd Algebra (DE-588)4001156-2 gnd Zahlentheorie (DE-588)4067277-3 gnd |
| subject_GND | (DE-588)4072157-7 (DE-588)4001156-2 (DE-588)4067277-3 (DE-588)4016928-5 (DE-588)1071861417 |
| title | Group theory, algebra, and number theory Colloquium in Memory of Hans Zassenhaus, held in Saarbrücken, Germany, June 4-5, 1993 |
| title_auth | Group theory, algebra, and number theory Colloquium in Memory of Hans Zassenhaus, held in Saarbrücken, Germany, June 4-5, 1993 |
| title_exact_search | Group theory, algebra, and number theory Colloquium in Memory of Hans Zassenhaus, held in Saarbrücken, Germany, June 4-5, 1993 |
| title_full | Group theory, algebra, and number theory Colloquium in Memory of Hans Zassenhaus, held in Saarbrücken, Germany, June 4-5, 1993 ed. Horst G. Zimmer |
| title_fullStr | Group theory, algebra, and number theory Colloquium in Memory of Hans Zassenhaus, held in Saarbrücken, Germany, June 4-5, 1993 ed. Horst G. Zimmer |
| title_full_unstemmed | Group theory, algebra, and number theory Colloquium in Memory of Hans Zassenhaus, held in Saarbrücken, Germany, June 4-5, 1993 ed. Horst G. Zimmer |
| title_short | Group theory, algebra, and number theory |
| title_sort | group theory algebra and number theory colloquium in memory of hans zassenhaus held in saarbrucken germany june 4 5 1993 |
| title_sub | Colloquium in Memory of Hans Zassenhaus, held in Saarbrücken, Germany, June 4-5, 1993 |
| topic | Groupes, Théorie des - Congrès ram Algebra Congresses Group theory Congresses Number theory Congresses Gruppentheorie (DE-588)4072157-7 gnd Algebra (DE-588)4001156-2 gnd Zahlentheorie (DE-588)4067277-3 gnd |
| topic_facet | Groupes, Théorie des - Congrès Algebra Congresses Group theory Congresses Number theory Congresses Gruppentheorie Algebra Zahlentheorie Festschrift Konferenzschrift 1993 Saarbrücken |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007371128&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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