Orthomorphism graphs of groups:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin ; Heidelberg
Springer
[1992]
|
| Series: | Lecture notes in mathematics
1535 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 114 Seiten |
| ISBN: | 3540563512 9783540563518 9783540475415 0387563512 |
Staff View
MARC
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| 245 | 1 | 0 | |a Orthomorphism graphs of groups |c Anthony B. Evans |
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Record in the Search Index
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Contents
Preface V
Contents VI
Chapter 1: Introduction
Section 1. Definitions and elementary results 1
Section 2. Latin squares and difference matrices 5
Section 3. Nets and affine planes 9
Section 4. Neofields 14
Section 5. The existence problem 18
Chapter 2: Elementary abelian groups
Section 1. Introduction 25
Section 2. A linear algebra approach 26
Section 3. A special class of examples 28
Section 4. Systems of order 5 or less 30
Chapter 3: Cyclotomic orthomorphisms
Section 1. Linear and quadratic orthomorphisms 35
Section 2. Cyclotomic orthomorphisms 40
Section 3. Permutation polynomials 43
Section 4. Cyclotomy and permutation polynomials 47
Chapter 4: Automorphisms and translation nets
Section 1. Introduction 50
Section 2. Orthomorphisms from automorphisms 51
Section 3. Bounds on co(Cl(G) u Cl"(G)) 52
Section 4. The abelian case 54
Chapter 5: Further results
Section 1. Powers 57
Section 2. Strong complete mappings 60
Section 3. Difference sets 63
Section 4. Maximal sets of orthomorphisms 67
Section 5. Complete sets of orthomorphisms 73
VIII
Chapter 6: Data for small groups
Section 1. Introduction 77
Section 2. Groups of order 8 78
Section 3. Groups of order 9 81
Section 4. The cyclic group of order 11 82
Section 5. Groups of order at least 12 85
Chapter 7: Research directions
Section 1. Problems to consider 91
Section 2. Orthomorphism graphs 91
Section 3. Structure of orthomorphism graphs 97
Section 4. Cliques of orthomorphism graphs 100
References 105
Index Ill |
| any_adam_object | 1 |
| author | Evans, Anthony B. 1949- |
| author_GND | (DE-588)1171934688 |
| author_facet | Evans, Anthony B. 1949- |
| author_role | aut |
| author_sort | Evans, Anthony B. 1949- |
| author_variant | a b e ab abe |
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| callnumber-first | Q - Science |
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| classification_tum | MAT 059f MAT 209f |
| ctrlnum | (OCoLC)246275120 (DE-599)BVBBV005890305 |
| dewey-full | 510 512.9/25 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics 512 - Algebra |
| dewey-raw | 510 512.9/25 |
| dewey-search | 510 512.9/25 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| id | DE-604.BV005890305 |
| illustrated | Not Illustrated |
| indexdate | 2024-10-21T14:00:58Z |
| institution | BVB |
| isbn | 3540563512 9783540563518 9783540475415 0387563512 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003687597 |
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| physical | VIII, 114 Seiten |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Evans, Anthony B. 1949- (DE-588)1171934688 aut Orthomorphism graphs of groups Anthony B. Evans Berlin ; Heidelberg Springer [1992] © 1992 VIII, 114 Seiten txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1535 Carrés magiques Géométries finies Finite geometries Magic squares Graphentheorie (DE-588)4113782-6 gnd rswk-swf Graph (DE-588)4021842-9 gnd rswk-swf Orthomorphismus (DE-588)4307887-4 gnd rswk-swf Gruppe Mathematik (DE-588)4022379-6 gnd rswk-swf Orthomorphismus (DE-588)4307887-4 s DE-604 Gruppe Mathematik (DE-588)4022379-6 s Graph (DE-588)4021842-9 s Graphentheorie (DE-588)4113782-6 s Erscheint auch als Online-Ausgabe 978-3-540-56351-8 Lecture notes in mathematics 1535 (DE-604)BV000676446 1535 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003687597&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Evans, Anthony B. 1949- Orthomorphism graphs of groups Lecture notes in mathematics Carrés magiques Géométries finies Finite geometries Magic squares Graphentheorie (DE-588)4113782-6 gnd Graph (DE-588)4021842-9 gnd Orthomorphismus (DE-588)4307887-4 gnd Gruppe Mathematik (DE-588)4022379-6 gnd |
| subject_GND | (DE-588)4113782-6 (DE-588)4021842-9 (DE-588)4307887-4 (DE-588)4022379-6 |
| title | Orthomorphism graphs of groups |
| title_auth | Orthomorphism graphs of groups |
| title_exact_search | Orthomorphism graphs of groups |
| title_full | Orthomorphism graphs of groups Anthony B. Evans |
| title_fullStr | Orthomorphism graphs of groups Anthony B. Evans |
| title_full_unstemmed | Orthomorphism graphs of groups Anthony B. Evans |
| title_short | Orthomorphism graphs of groups |
| title_sort | orthomorphism graphs of groups |
| topic | Carrés magiques Géométries finies Finite geometries Magic squares Graphentheorie (DE-588)4113782-6 gnd Graph (DE-588)4021842-9 gnd Orthomorphismus (DE-588)4307887-4 gnd Gruppe Mathematik (DE-588)4022379-6 gnd |
| topic_facet | Carrés magiques Géométries finies Finite geometries Magic squares Graphentheorie Graph Orthomorphismus Gruppe Mathematik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003687597&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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| work_keys_str_mv | AT evansanthonyb orthomorphismgraphsofgroups |