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Book Categories |
Introduction | 1 | |
Acknowledgements | 3 | |
Notation for Simple Groups | 4 | |
Ch. 1 | Background from General Group Theory | 5 |
Ch. 2 | Assumed Results about Particular Groups | 11 |
Ch. 3 | Codes | 24 |
Ch. 4 | The Hexacode | 30 |
Ch. 5 | The Golay Code | 36 |
Ch. 6 | Subgroups of M[subscript 24] | 54 |
Ch. 7 | The Ternary Golay Code and 2.M[subscript 12] | 76 |
Ch. 8 | Lattices | 88 |
Ch. 9 | The Leech Lattice and Conway Groups | 95 |
Ch. 10 | Subgroups of the Conway Groups; the Simple Groups of Higman-Sims, McLaughlin, Hall-Janko and Suzuki; Local Subgroups; Conjugacy Classes | 104 |
App. 10A | D. G. Higman's Theory of Rank 3 Permutation Groups | 123 |
App. 10B | Classification Theorems | 125 |
App. 10C | Tables of Stabilizers | 126 |
Ch. 11 | Generation Three of the Happy Family and the Pariahs | 146 |
App | Some Comments on the Atlas | 153 |
References | 154 | |
Index | 161 | |
List of Group Theoretic Notations | 168 | |
The Orders of the Finite Simple Groups | 169 |
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