Ebook: Twelve Sporadic Groups

see Information Text

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see Information Text

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see Information Text
Content:
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 2·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

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see Information Text
Content:
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 2·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
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