The finite simple groups come in several infinite families (alternating groups and the groups of Lie type) plus 26 sporadic groups. The sporadic groups, discovered between 1861 and 1975, exist because of special combinatorial or arithmetic circumstances. A single theme does not capture them all. Nev
Twelve Sporadic Groups
โ Scribed by Robert L. Griess Jr. (auth.)
- Publisher
- Springer-Verlag Berlin Heidelberg
- Year
- 1998
- Tongue
- English
- Leaves
- 174
- Series
- Springer Monographs in Mathematics
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Synopsis
see Information Text
โฆ Table of Contents
Front Matter....Pages I-4
Background from General Group Theory....Pages 5-10
Assumed Results about Particular Groups....Pages 11-23
Codes....Pages 24-29
The Hexacode....Pages 30-35
The Golay Code....Pages 36-53
Subgroups of M 24 ....Pages 54-75
The Ternary Golay Code and 2ยท M 12 ....Pages 76-87
Lattices....Pages 88-94
The Leech Lattice and Conway Groups....Pages 95-103
Subgroups of the Conway Groups; the Simple Groups of Higman-Sims, McLaughlin, Hall-Janko and Suzuki; Local Subgroups; Conjugacy Classes....Pages 104-145
Generation Three of the Happy Family and the Pariahs....Pages 146-153
Back Matter....Pages 154-169
โฆ Subjects
Group Theory and Generalizations
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