## Theory of Finite Groups: A Symposium |

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### Contents

On groups with quasidihedral Sylow | 1 |

3 Finite groups having a strongly embedded | 21 |

On a characterization of PSpq | 31 |

Copyright | |

21 other sections not shown

### Common terms and phrases

2-Sylow A-signalizer functor A(RG abelian subgroup automorphic algebra automorphism group blocks Brauer central extension character table character theory characters of G Chevalley groups classes of involutions complex composition factor conic conjugate classes construction COROLLARY corresponding coset enumeration defined denote element of order elementary abelian equivalent exists field finite group finite simple group formula G is isomorphic G-modules geometry Gorenstein Graham Higman graph group G group of degree group of order Hall-Janko group Higman HomR idempotent indecomposable modules induced integer involution irreducible characters isomorphic Janko LEMMA Let G linear Main Theorem Math matrices maximal multiplicity normal subgroup obtained odd order p-group permutation character permutation group permutation representation points proof of Theorem prove quadrics relations ring satisfies Steinberg structure subgroup H subgroup of G subgroup of order subgroups isomorphic submodule subsets Suzuki Sylow 2-subgroups symmetric group theory Thompson Tits transitive permutation vertex