## Finite Simple Groups: Proceedings of an Instructional Conference Organized by the London Mathematical Society (a NATO Advanced Study Institute) |

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### Contents

CHAPTER I | 1 |

CHAPTER II | 65 |

Local Grouptheoretic Analysis | 117 |

Copyright | |

12 other sections not shown

### Common terms and phrases

acts apply arbitrary argument assume automorphism balanced basis block called centralizer characteristic Chevalley groups Clearly commutative completes conclude condition conjugate consequence consider contains controls COROLLARY corresponding cyclic define definition denote describe determined discussion elementary abelian elements equivalent Evidently example exists extension fact factor field finite group fixed Frattini argument fusion give given group G Hence holds homomorphism idempotent identity implies induction integers involution irreducible characters isomorphic least lectures Lemma Let G linear Math maximal minimal module multiplication N)-pair natural normal subgroup Note obtain octad odd order p-group particular permutation prime problem Proof properties Proposition prove relations representation respectively restriction result ring root system satisfies simple groups split stabilizer Steinberg structure subgroup of G subset Suppose Sylow p-subgroup Take theorem theory transitive unique yields