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Sporadic groups

Sporadic groups

Material type
단행본
Personal Author
Aschbacher, Michael, 1944-
Title Statement
Sporadic groups / Michael Aschbacher.
Publication, Distribution, etc
Cambridge [England] ;   New York :   Cambridge University Press,   1994.  
Physical Medium
xii, 314 p. ; 24 cm.
Series Statement
Cambridge tracts in mathematics ;104
ISBN
0521420490
Bibliography, Etc. Note
Includes bibliographical references (p. [306]-309) and index.
Subject Added Entry-Topical Term
Sporadic groups (Mathematics)
비통제주제어
Groups (Mathematics),,
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001 000000233180
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008 930419s1994 enk b 001 0 eng
010 ▼a 93013653 //r95
015 ▼a GB94-41525
020 ▼a 0521420490
040 ▼a DLC ▼c DLC ▼d UKM
049 ▼a ACCL ▼l 111059728
050 0 0 ▼a QA177 ▼b .A83 1994
082 0 0 ▼a 512/.2 ▼2 20
090 ▼a 512.2 ▼b A812s
100 1 ▼a Aschbacher, Michael, ▼d 1944-
245 1 0 ▼a Sporadic groups / ▼c Michael Aschbacher.
260 ▼a Cambridge [England] ; ▼a New York : ▼b Cambridge University Press, ▼c 1994.
300 ▼a xii, 314 p. ; ▼c 24 cm.
440 0 ▼a Cambridge tracts in mathematics ; ▼v 104
504 ▼a Includes bibliographical references (p. [306]-309) and index.
650 0 ▼a Sporadic groups (Mathematics)
653 0 ▼a Groups (Mathematics)

Holdings Information

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No. 1 Location Main Library/Western Books/ Call Number 512.2 A812s Accession No. 111059728 Availability Available Due Date Make a Reservation Service B M

Contents information

Table of Contents


CONTENTS
Preface = 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 Group = 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
  7. The Geometry and Structure of M2 4 = 96
    20. The geometry of M2 4 = 96
    21. The local structure of M2 4 = 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 Co3 , Mc, and HS = 125
    25. The groups Co1 , Co2 , Suz, and J-2 = 132
    26. Some local subgroups of Co1 = 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 systems of a string geometry = 204
  14. The Uniqueness of Groups of Type M2 4 , He, and L5 (2) = 212
    39. Some 2-local subgroups in L5 (2), M2 4 , and He = 213
    40. Groups of type L5 (2), M2 4 , and He = 216
    41. Groups of type L5 (2) and M2 4 = 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
  15. The Group U4 (3) = 241
    45. U4 (3) = 242
  16. Groups of Conway, Suzuki, and Hall-Janko Type = 250
    46. Groups of type Co1 , Suz, J2 , and J-3 = 250
    47. Groups of type J2 = 259
    48. Groups of type Suz = 267
    49. Groups of type Co1 = 279
  17. Subgroups of Prime Order in Five Sporadic Groups = 293
    50. Subgroups of Suz of prime order = 293
    51. Subgroups of Co1 of prime order = 295
    52. Subgroups of prime order in He = 299
Symbols = 304
Bibliography = 306
Index = 311

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