The fourth Janko group:
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Oxford
Clarendon Press
2004
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| Series: | Oxford mathematical monographs
Oxford science publications |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XV, 233 S. graph. Darst. |
| ISBN: | 0198527594 |
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MARC
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Record in the Search Index
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| adam_text | THE FOURTH JANKO GROUP A. A. IVANOV CLARENDON PRESS .OXFORD 2004
CONTENTS 1 CONCRETE GROUP THEORY 1 1.1 SYMPLECTIC AND ORTHOGONAL
GF(2)-FORMS 1 1.2 S 2M (2), O+ M (2), AND O 2 M (2) 4 1.3
TRANSVECTIONS AND SIEGEL TRANSFORMATIONS 6 1.4 EXTERIOR SQUARE VIA
SYMPLECTIC FORMS 8 1.5 WITT S THEOREM 9 1.6 EXTRASPECIAL 2-GROUPS 10 1.7
THE SPACE OF FORMS 12 1.8 5 4 (2) AND SYM 6 13 1.9 0^(2), ALT 8 , AND L
4 (2) 15 1.10 L 2 (7) AND L 3 (2) 16 2 0^(2) AS A PROTOTYPE 18 2.1 DUAL
POLAR GRAPH 18 2.2 GEOMETRIC CUBIC SUBGRAPHS 22 2.3 AMALGAM H = {H^ ,
FFM} 23 2.4 THE UNIVERSAL COMPLETION 25 2.5 CHARACTERIZATION 27 3
MODIFYING THE RANK 2 AMALGAM 30 3.1 COMPLEMENTS AND FIRST COHOMOLOGY 30
3.2 PERMUTATION MODULES 33 3.3 DECK AUTOMORPHISMS OF 2 6 : L 4 (2) 37
3.4 AUTOMORPHISM GROUP OF H T 01 L 40 3.5 AMALGAM Q = {G^ , G*} 43 3.6
VECTORS AND HYPERPLANES IN Q 0 44 3.7 STRUCTURE OF G^ 45 3.8 A SHADE
OF A MATHIEU GROUP 47 4 PENTAD GROUP 2 3 + 12 * (L 3 (2) X SYM 5 ) 49
4.1 GEOMETRIC SUBGROUPS AND SUBGRAPHS 49 4.2 KERNELS AND ACTIONS 51 4.3
INSPECTING N^ 55 4.4 COHOMOLOGY OF L3 (2) 57 4.5 TRIDENT GROUP 60 4.6
AUTOMORPHISM GROUP OF N^ 64 4.7 {D12, 8}-AMALGAMS IN SYM 6 69 XM XIV
CONTENTS 4.8 THE LAST INCH 71 4.9 SOME PROPERTIES OF THE PENTAD GROUP 74
5 TOWARDS 2++ 12 * 3 * AUT (M 22 ) 76 5.1 AUTOMORPHISM GROUP OF N I 3 1
76 5.2 A PETERSEN-TYPE AMALGAM IN GL 3 L 77 5.3 THE 12-DIMENSIONAL
MODULE 80 5.4 THE TRIVIALITY OF A^ 4 82 6 THE 1333-DIMENSIONAL
REPRESENTATION 84 84 86 88 89 92 94 96 99 100 104 108 111 112 114 119
120 126 7 GETTING THE PARABOLICS TOGETHER 131 7.1 ENCIRCLING 2+ +12 * 3
* AUT (M 22 ) 131 7.2 TRACKING 2 U : M 24 133 7.3 P-GEOMETRY OF G^ 136
7.4 GW = G 138 7.5 MAXIMAL PARABOLIC GEOMETRY T 139 7.6 RESIDUES IN T
141 7.7 INTERSECTIONS OF MAXIMAL PARABOLICS 143 8 173,067,389-VERTEX
GRAPH A 147 8.1 DENNING THE GRAPH 147 8.2 THE LOCAL GRAPH OF A 150 8.3
DISTANCE TWO NEIGHBOURHOOD 154 6.1 6.2 6.3 6.4 6.5 6.6 6.7 6.8 6.9 6.10
6.11 6.12 6.13 REPRESENTATIONS OF RANK 2 AMALGAMS BOUNDING THE DIMENSION
ON IRREDUCIBILITY OF INDUCED MODULES REPRESENTING G L RESTRICTING TO G
01 LIFTING 11^ LIFTING N^ 11 LIFTING U [ 21] ILFP 6.8.1 24-DIM
REPRESENTATIONS OF C G M (H) 6.8.2 STRUCTURE OF II^ 6.8.3 STRUCTURE OF N
21 6.8.4 GLUING THE MINIMAL REPRESENTATIONS OF Q THE ACTION OF G 2
THE CENTRALIZER OF N ^ THE FUNDAMENTAL GROUP OF THE PETERSEN GRAPH
COMPLETION CONSTRAINED AT LEVEL 2 8.4 8.5 8.6 8.7 8.8 CONTENTS 8.3.1
ANALYSING 2-PATHS 8.3.2 CALCULATING FI 2 8.3^.3 CALCULATING ^ 8.3.4 THE
/Z-SUBGRAPHS EARTHING UP A3 (A) EARTHING UP A 2 (A) | G | = 2 21 - 3 3 *
5 * 7 * II 3 * 23 - 29 * 31 THE SIMPLICITY OF G THE INVOLUTION
CENTRALIZER HISTORY AND BEYOND 9.1 9.2 9.3 9.4 9.5 9.6 9.7 9.8 9.9 9.10
9.11 9.12 9.13 JANKO S DISCOVERY CHARACTERIZATIONS RONAN-SMITH GEOMETRY
CAMBRIDGE FIVE P-GEOMETRY UNIQUENESS OF J 4 LEMPKEN S CONSTRUCTION
COMPUTER-FREE CONSTRUCTION THE MAXIMAL SUBGROUPS ROWLEY-WALKER DIAGRAM
LOCALLY PROJECTIVE GRAPHS ON THE 112-DIMENSIONAL MODULE MISCELLANEOUS
APPENDIX: TERMINOLOGY AND NOTATION 10.1 10.2 10.3 10.4 GROUPS AMALGAMS
GRAPHS DIAGRAM GEOMETRIES 156 160 163 166 168 174 37 * 43 182 186 188
190 190 192 193 194 194 195 196 196 196 197 197 200 201 10 APPENDIX:
TERMINOLOGY AND NOTATION 202 202 203 204 208 11 APPENDIX: MATHIEU GROUPS
AND THEIR GEOMETRIES 213 11.1 WITT DESIGN 5(5,8,24) 213 11.2 GEOMETRIES
OF M 24 215 11.3 GOLAY CODE AND TODD MODULES 218 11.4 SHPECTOROV S
CHARACTERIZATION OF M22 219 11.5 DIAGRAMS OF H(M 2 A) 223 11.6 DIAGRAMS
OF W(M 22 ) 225 REFERENCES 227 INDEX 232
|
| any_adam_object | 1 |
| author | Ivanov, Aleksandr A. |
| author_facet | Ivanov, Aleksandr A. |
| author_role | aut |
| author_sort | Ivanov, Aleksandr A. |
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| building | Verbundindex |
| bvnumber | BV025416069 |
| classification_rvk | SK 260 |
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| 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 |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T22:33:51Z |
| institution | BVB |
| isbn | 0198527594 |
| language | English |
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| oclc_num | 249241634 |
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| owner | DE-11 |
| owner_facet | DE-11 |
| physical | XV, 233 S. graph. Darst. |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | Clarendon Press |
| record_format | marc |
| series2 | Oxford mathematical monographs Oxford science publications |
| spelling | Ivanov, Aleksandr A. Verfasser aut The fourth Janko group A. A. Ivanov Oxford Clarendon Press 2004 XV, 233 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Oxford mathematical monographs Oxford science publications Janko-Gruppe (DE-588)4441042-6 gnd rswk-swf Gruppentheorie (DE-588)4072157-7 gnd rswk-swf Gruppentheorie (DE-588)4072157-7 s Janko-Gruppe (DE-588)4441042-6 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020036025&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ivanov, Aleksandr A. The fourth Janko group Janko-Gruppe (DE-588)4441042-6 gnd Gruppentheorie (DE-588)4072157-7 gnd |
| subject_GND | (DE-588)4441042-6 (DE-588)4072157-7 |
| title | The fourth Janko group |
| title_auth | The fourth Janko group |
| title_exact_search | The fourth Janko group |
| title_full | The fourth Janko group A. A. Ivanov |
| title_fullStr | The fourth Janko group A. A. Ivanov |
| title_full_unstemmed | The fourth Janko group A. A. Ivanov |
| title_short | The fourth Janko group |
| title_sort | the fourth janko group |
| topic | Janko-Gruppe (DE-588)4441042-6 gnd Gruppentheorie (DE-588)4072157-7 gnd |
| topic_facet | Janko-Gruppe Gruppentheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020036025&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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