Geometry of sporadic groups: 2 Representations and amalgams
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge [u.a.]
Cambridge Univ. Press
2002
|
| Ausgabe: | 1. publ. |
| Schriftenreihe: | Encyclopedia of mathematics and its applications
91 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVIII, 286 S. graph. Darst. |
| ISBN: | 0521623499 |
Internformat
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| 245 | 1 | 0 | |a Geometry of sporadic groups |n 2 |p Representations and amalgams |c A. A. Ivanov ; S. V. Shpectorov |
| 250 | |a 1. publ. | ||
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Datensatz im Suchindex
| _version_ | 1804130221011501056 |
|---|---|
| adam_text | ENCYCLOPEDIA OF MATHEMATICS AND ITS APPLICATIONS FOUNDED BY G.-C. ROTA
EDITORIAL BOARD R. S. DORAN, P. FLAJOLET, M. ISMAIL, T.-Y. LAM, E.
LUTWAK, R. SPIGLER VOLUME 91 GEOMETRY OF SPORADIC GROUPS II
REPRESENTATIONS AND AMALGAMS CONTENTS PREFACE PAGE IX 1 PRELIMINARIES 1
1.1 GEOMETRIES AND DIAGRAMS 1 1.2 COVERINGS OF GEOMETRIES 3 1.3 AMALGAMS
OF GROUPS 5 1.4 SIMPLE CONNECTEDNESS VIA UNIVERSAL COMPLETION 7 1.5
REPRESENTATIONS OF GEOMETRIES 11 PART I. REPRESENTATIONS 17 2 GENERAL
FEATURES 19 2.1 TERMINOLOGY AND NOTATION 19 2.2 COLLINEARITY GRAPH 22
2.3 GEOMETRIC HYPERPLANES 24 2.4 ODD ORDER SUBGROUPS 27 2.5 CAYLEY
GRAPHS 32 2.6 HIGHER RANKS - 34 2.7 C-EXTENSIONS : 35 2.8 NON-SPLIT
EXTENSIONS 40 3 CLASSICAL GEOMETRIES 43 3.1 LINEAR GROUPS 43 3.2 THE
GRASSMANIAN *) - 45 3.3 0 IS UNISERIAL 47 3.4 ^(S 4 (2)) 50 3.5
SYMPLECTIC GROUPS 51 3.6 ORTHOGONAL GROUPS 55 3.7 BROUWER S CONJECTURE
56 3.8 ^(3-S 4 (2)) ... 64 VI CONTENTS 3.9 3.10 4 4.1 4.2 4.3 4.4 4.5
4.6 5 5.1 5.2 5.3 5.4 5.5 5.6 6 6.1 6.2 6.3 6.4 6.5 6.6 7 7.1 7.2 7.3
7.4 7.5 7.6 - 7.7 7.8 7.9 9(ALT 5 ) 9(3GJ J * 52,(2)) MATHIEU GROUPS AND
HELD GROUP 3(M 2 T,) ^(M 22 ) ^(M 24 ) ^(3-M 22 ) 9(HE) CONWAY GROUPS
LEECH LATTICE @(CO 2 ) 9(COI) ABELIANIZATION 0(3 23 * CO 2 ) 9(3 * C/ 4
(3)) INVOLUTION GEOMETRIES GENERAL METHODS J(A TI) J(M 22 ) ./(L/ 4 (3))
J{CO 2 ,2B) J(CO U 2A) LARGE SPORADICS EXISTENCE OF THE REPRESENTATIONS
A REDUCTION VIA SIMPLE CONNECTEDNESS THE STRUCTURE OF N(P) IDENTIFYING
RI(P) R (P) IS NORMAL IN R[P R _P IS ISOMORPHIC TO G(P) GENERATION OF
G(P) N G(Q) RECONSTRUCTING THE RANK 3 AMALGAM ^(3 4371 * BM) 111 111 115
117 120 122 125 128 128 131 134 141 146 151 153. 155 159 PART II.
AMALGAMS 161 8 METHOD OF GROUP AMALGAMS 163 8.1 GENERAL STRATEGY 163 8.2
SOME COHOMOLOGIES 165 CONTENTS VII 8.3 GOLDSCHMIDT S THEOREM 170 8.4
FACTOR AMALGAMS 173 8.5 L 3 (2)-LEMMA 175 8.6 TWO PARABOLICS ARE
SUFFICIENT 178 180 180 183 187 191 196 198 198 200 204 209 211 211 213
215 215 217 219 221 - 227 233 *, 234 242 242 243 246 248 253 256 261
261 CONCLUDING REMARKS 269 9 9.1 9.2 9.3 9.4 9.5 10 10.1 10.2 10.3 10.4
10.5 10.6 10.7 11 11.1 11.2 11.3 11.4 11.5 11.6 11.7 12 12.1 12.2 12.3
12.4 12.5 12.6 12.7 12.8 ACTION ON THE DERIVED GRAPH A GRAPH THEORETICAL
SETUP NORMAL SERIES OF THE VERTEX STABILIZER CONDITION (*;) NORMAL
SERIES OF THE POINT STABILIZER PUSHING UP SHAPES OF AMALGAMS THE SETTING
RANK THREE CASE RANK FOUR CASE RANK FIVE CASE RANK SIX CASE THE
SYMPLECTIC SHAPE SUMMARY AMALGAMS FOR P -GEOMETRIES M 22 -SHAPE AUT M 22
-SHAPE M 2 3-SHAPE CO 2 -SHAPE J 4 -SHAPE TRUNCATED J 4 -SHAPE BM-SHAPE
AMALGAMS FOR T-GEOMETRIES ALTY-SHAPE S 6 (2)-SHAPE M 24 -SHAPE TRUNCATED
M 24 -SHAPE THE COMPLETION OF STFF CO -SHAPE M-SHAPE S 2N (2)-SHAPE, N
4 VIII CONTENTS 13 FURTHER DEVELOPMENTS 271 13.1 GROUP-FREE
CHARACTERIZATIONS 271 13.2 LOCALLY PROJECTIVE GRAPHS 275 REFERENCES 278
INDEX . S 285
|
| any_adam_object | 1 |
| author | Ivanov, A. A. Špektorov, Sergej V. |
| author_facet | Ivanov, A. A. Špektorov, Sergej V. |
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| callnumber-subject | QA - Mathematics |
| ctrlnum | (OCoLC)48534633 (DE-599)BVBBV017401727 |
| dewey-full | 512.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.2 |
| dewey-search | 512.2 |
| dewey-sort | 3512.2 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV017401727 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T19:17:35Z |
| institution | BVB |
| isbn | 0521623499 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010485976 |
| oclc_num | 48534633 |
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| physical | XVIII, 286 S. graph. Darst. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| series | Encyclopedia of mathematics and its applications |
| series2 | Encyclopedia of mathematics and its applications |
| spelling | Ivanov, A. A. Verfasser aut Geometry of sporadic groups 2 Representations and amalgams A. A. Ivanov ; S. V. Shpectorov 1. publ. Cambridge [u.a.] Cambridge Univ. Press 2002 XVIII, 286 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Encyclopedia of mathematics and its applications 91 Encyclopedia of mathematics and its applications ... Sporadic groups (Mathematics) Špektorov, Sergej V. Verfasser aut (DE-604)BV012683455 2 Encyclopedia of mathematics and its applications 91 (DE-604)BV000903719 91 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010485976&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ivanov, A. A. Špektorov, Sergej V. Geometry of sporadic groups Encyclopedia of mathematics and its applications Sporadic groups (Mathematics) |
| title | Geometry of sporadic groups |
| title_auth | Geometry of sporadic groups |
| title_exact_search | Geometry of sporadic groups |
| title_full | Geometry of sporadic groups 2 Representations and amalgams A. A. Ivanov ; S. V. Shpectorov |
| title_fullStr | Geometry of sporadic groups 2 Representations and amalgams A. A. Ivanov ; S. V. Shpectorov |
| title_full_unstemmed | Geometry of sporadic groups 2 Representations and amalgams A. A. Ivanov ; S. V. Shpectorov |
| title_short | Geometry of sporadic groups |
| title_sort | geometry of sporadic groups representations and amalgams |
| topic | Sporadic groups (Mathematics) |
| topic_facet | Sporadic groups (Mathematics) |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010485976&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV012683455 (DE-604)BV000903719 |
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