Sporadic groups:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge [u.a.]
Cambridge Univ. Press
1994
|
| Ausgabe: | 1. publ. |
| Schriftenreihe: | Cambridge tracts in mathematics
104 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 314 S. |
| ISBN: | 0521420490 9780521420495 9780521056861 |
Internformat
MARC
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| 100 | 1 | |a Aschbacher, Michael |d 1944- |e Verfasser |0 (DE-588)142400955 |4 aut | |
| 245 | 1 | 0 | |a Sporadic groups |c Michael Aschbacher |
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| 264 | 1 | |a Cambridge [u.a.] |b Cambridge Univ. Press |c 1994 | |
| 300 | |a XII, 314 S. | ||
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| 490 | 1 | |a Cambridge tracts in mathematics |v 104 | |
| 650 | 4 | |a Sporadic groups (Mathematics) | |
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Datensatz im Suchindex
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|---|---|
| adam_text | Contents
Preface page ix
PART I
1. Preliminary Results 1
1. Abstract representations 1
2. Permutation representations 2
3. Graphs 4
4. Geometries and complexes 6
5. The general linear group and its projective geometry 13
6. Fiber products of groups 15
2. 2 Structure in Finite Groups 18
7. Involutions 18
8. Extraspecial groups 21
3. Algebras, Codes, and Forms 35
9. Forms and algebras 36
10. Codes 40
11. Derived forms 41
4. Symplectic 2 Loops 46
12. Symplectic 2 loops 47
13. Moufang symplectic 2 loops 54
14. Constructing a 2 local from a loop 57
5. The Discovery, Existence, and Uniqueness
of the Sporadics 65
15. History and discovery 65
16. Existence of the sporadics 70
17. Uniqueness of the sporadics 74
PART II
6. The Mathieu Groups, Their Steiner Systems,
and the Golay Code 77
18. Steiner systems for the Mathieu groups 78
19. The Golay and Todd modules 85
vi Contents
7. The Geometry and Structure of M24 96
20. The geometry of M24 96
21. The local structure of M24 103
8. The Conway Groups and the Leech Lattice 108
22. The Leech lattice and • 0 108
23. The Leech lattice mod 2 116
9. Subgroups of • 0 124
24. The groups C03, Me, and HS 125
25. The groups Co , C02, Suz, and Ji 132
26. Some local subgroups of Co 135
10. The Griess Algebra and the Monster 142
27. The subgroups C and N of the Monster 143
28. The Griess algebra 151
29. The action of N on B 154
30. N preserves the Griess algebra 162
31. The automorphism group of the Griess algebra 167
11. Subgroups of Groups of Monster Type 172
32. Subgroups of groups of Monster type 173
PART III
12. Coverings of Graphs and Simplicial Complexes 175
33. The fundamental groupoid 176
34. Triangulation 182
35. Coverings of graphs and simplicial complexes 184
13. The Geometry of Amalgams 194
36. Amalgams 195
37. Uniqueness systems 198
38. The uniqueness system of a string geometry 204
14. The Uniqueness of Groups of Type M24,
He, and Z5(2) 212
39. Some 2 local subgroups in £5(2), M24, and He 213
40. Groups of type £5(2), M24, and He 216
41. Groups of type L5 (2) and M24 219
42. Groups of type He 223
43. The root 4 group graph for He 230
44. The uniqueness of groups of type He 236
Contents vii
15. The Group C74(3) 241
45. U4(3) 242
16. Groups of Conway, Suzuki, and Hall—Janko Type 250
46. Groups of type Co , Suz, J2, and J3 250
47. Groups of type J2 259
48. Groups of type Suz 267
49. Groups of type Co 279
17. Subgroups of Prime Order in Five
Sporadic Groups 293
50. Subgroups of Suz of prime order 293
51. Subgroups of Co of prime order 295
52. Subgroups of prime order in He 299
Symbols 304
Bibliography 306
Index 311
|
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| author | Aschbacher, Michael 1944- |
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| author_facet | Aschbacher, Michael 1944- |
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| dewey-ones | 512 - Algebra |
| dewey-raw | 512.2 |
| dewey-search | 512.2 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV009664425 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:38:50Z |
| institution | BVB |
| isbn | 0521420490 9780521420495 9780521056861 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006390692 |
| oclc_num | 246328373 |
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| physical | XII, 314 S. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| series | Cambridge tracts in mathematics |
| series2 | Cambridge tracts in mathematics |
| spelling | Aschbacher, Michael 1944- Verfasser (DE-588)142400955 aut Sporadic groups Michael Aschbacher 1. publ. Cambridge [u.a.] Cambridge Univ. Press 1994 XII, 314 S. txt rdacontent n rdamedia nc rdacarrier Cambridge tracts in mathematics 104 Sporadic groups (Mathematics) Sporadische Gruppe (DE-588)4389412-4 gnd rswk-swf Gruppe Mathematik (DE-588)4022379-6 gnd rswk-swf Sporadische Gruppe (DE-588)4389412-4 s DE-604 Gruppe Mathematik (DE-588)4022379-6 s Cambridge tracts in mathematics 104 (DE-604)BV000000001 104 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006390692&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Aschbacher, Michael 1944- Sporadic groups Cambridge tracts in mathematics Sporadic groups (Mathematics) Sporadische Gruppe (DE-588)4389412-4 gnd Gruppe Mathematik (DE-588)4022379-6 gnd |
| subject_GND | (DE-588)4389412-4 (DE-588)4022379-6 |
| title | Sporadic groups |
| title_auth | Sporadic groups |
| title_exact_search | Sporadic groups |
| title_full | Sporadic groups Michael Aschbacher |
| title_fullStr | Sporadic groups Michael Aschbacher |
| title_full_unstemmed | Sporadic groups Michael Aschbacher |
| title_short | Sporadic groups |
| title_sort | sporadic groups |
| topic | Sporadic groups (Mathematics) Sporadische Gruppe (DE-588)4389412-4 gnd Gruppe Mathematik (DE-588)4022379-6 gnd |
| topic_facet | Sporadic groups (Mathematics) Sporadische Gruppe Gruppe Mathematik |
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