An introduction to groups:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Bristol u.a.
Hilger
1989
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| Series: | A computer illustrated text
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 89 S. 1 Diskette (5,25) |
| ISBN: | 0852743777 0852743815 |
Staff View
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Record in the Search Index
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| adam_text | Titel: An introduction to groups
Autor: Asche, David
Jahr: 1989
Contents a Software order form 1 Introduction 1 1 Permutations 3 1.1 Notation 3 1.2 Products 5 1.3 Identity and inverses 7 1.4 Order and cycle structure 9 1.5 Even and odd permutations 10 2 Groups 14 2.1 Basic concepts and notation 14 2.2 Subgroups and Cayley tables 18 2.3 Cyclic groups 21 2.4 Subgroups and generators of cyclic groups 22 2.5 Cosets and Lagrange’s theorem 25 3 Group Actions 28 3.1 Definition and action tables 28 3.2 Orbits and stabilizers 30 3.3 Burnside’s lemma 34 3.4 Further applications 36 4 Conjugacy 39 4.1 Introduction 39 4.2 Conjugacy classes 42 4.3 Normal subgroups 46 4.4 The theorems of Sylow 48
viii CONTENTS 5 Homomorphisms and Quotient Groups 51 5.1 Basic concepts 51 5.2 Properties 56 5.3 The kernel 58 5.4 Quotient groups 61 55 An isomorphism theorem 62 6 Constructing Groups 65 6.1 Direct products 65 6.2 Dihedral groups 69 6.3 Dicyclic groups 71 6.4 More constructions 73 Appendix 1 Program Notes 79 Al.l BBC version 79 A1.2 IBM version 82 Appendix 2 List of Groups 85 Index 88
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| ctrlnum | (OCoLC)18715211 (DE-599)BVBBV005622531 |
| dewey-full | 512/.22 |
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| dewey-raw | 512/.22 |
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| dewey-sort | 3512 222 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:32:25Z |
| institution | BVB |
| isbn | 0852743777 0852743815 |
| language | English |
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| physical | VIII, 89 S. 1 Diskette (5,25) |
| publishDate | 1989 |
| publishDateSearch | 1989 |
| publishDateSort | 1989 |
| publisher | Hilger |
| record_format | marc |
| series2 | A computer illustrated text |
| spelling | Asche, David Verfasser aut An introduction to groups David Asche Bristol u.a. Hilger 1989 VIII, 89 S. 1 Diskette (5,25) txt rdacontent n rdamedia nc rdacarrier A computer illustrated text Groupe, théorie des ram Groupes, Théorie des Teoria Dos Grupos larpcal Group theory Gruppe Mathematik (DE-588)4022379-6 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Gruppe Mathematik (DE-588)4022379-6 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003519664&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Asche, David An introduction to groups Groupe, théorie des ram Groupes, Théorie des Teoria Dos Grupos larpcal Group theory Gruppe Mathematik (DE-588)4022379-6 gnd |
| subject_GND | (DE-588)4022379-6 (DE-588)4151278-9 |
| title | An introduction to groups |
| title_auth | An introduction to groups |
| title_exact_search | An introduction to groups |
| title_full | An introduction to groups David Asche |
| title_fullStr | An introduction to groups David Asche |
| title_full_unstemmed | An introduction to groups David Asche |
| title_short | An introduction to groups |
| title_sort | an introduction to groups |
| topic | Groupe, théorie des ram Groupes, Théorie des Teoria Dos Grupos larpcal Group theory Gruppe Mathematik (DE-588)4022379-6 gnd |
| topic_facet | Groupe, théorie des Groupes, Théorie des Teoria Dos Grupos Group theory Gruppe Mathematik Einführung |
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