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Mathematics - Algebra | Twelve Sporadic Groups

Twelve Sporadic Groups

Griess, Robert L. Jr.

1998, V, 169 p.

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Content Level » Research

Keywords » Group theory - Lattice - algebra - infinite families - simple finite groups - sporadic groups

Related subjects » Algebra

Table of contents 

1. Background from General Group Theory.- 2. Assumed Results about Particular Groups.- 3. Codes.- 4. The Hexacode.- 5. The Golay Code.- 6. Subgroups of M24.- 7. The Ternary Golay Code and 2·M12.- 8. Lattices.- 9. The Leech Lattice and Conway Groups.- 10. Subgroups of the Conway Groups; the Simple Groups of Higman-Sims, McLaughlin, Hall-Janko and Suzuki; Local Subgroups; Conjugacy Classes.- 11. Generation Three of the Happy Family and the Pariahs.- Appendix. Some Comments on the Atlas.- References.- List of Group Theoretic Notations.- The Orders of the Finite Simple Groups.

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