Sporadic groups / Michael Aschbacher

Author(s): Aschbacher, Michael
Location:
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Subjects: Sporadic groups (Mathematics)
Formats: Print
Material Type: Books
Language: English
Audience: Unspecified
Published: Cambridge [England] ; New York : Cambridge University Press, 1994
Series: Cambridge tracts in mathematics 104
LC Classification: Q, QA
Physical Description: xii, 314 p. ; 24 cm
Table of Contents: Preface
1. Preliminary Results 1
2. 2-Structure in Finite Groups 18
3. Algebras, Codes, and Forms 35
4. Symplectic 2-Loops 46
5. The Discovery, Existence, and Uniqueness of the Sporadics 65
6. The Mathieu Groups, Their Steiner Systems, and the Golay Code 77
7. The Geometry and Structure of M[subscript 24] 96
8. The Conway Groups and the Leech Lattice 108
9. Subgroups of [actual symbol not reproducible] 124
10. The Griess Algebra and the Monster 142
11. Subgroups of Groups of Monster Type 172
12. Coverings of Graphs and Simplicial Complexes 175
13. The Geometry of Amalgams 194
14. The Uniqueness of Groups of Type M[subscript 24], He, and L[subscript 5](2) 212
15. The Group U[subscript 4](3) 241
16. Groups of Conway, Suzuki, and Hall-Janko Type 250
17. Subgroups of Prime Order in Five Sporadic Groups 293
Symbols 304
Bibliography 306
Index 311
Notes: LCCN: 93013653
ISBN: 0521420490
Includes bibliographical references (p. [306]-309) and index
OCLC Number: 28067338
ISBN/ISSN: 0521420490