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Finite Groups in Which Sylow 2-Subgroups are Abelian and Centralizers of Involutions are Solvable

Finite Groups in Which Sylow 2-Subgroups are Abelian and Centralizers of Involutions are Solvable

The purpose of this paper is to establish the following theorem : Theorem 1. Let be a finite group with abelian Sylow 2-subgroups in which the centralizer of every involution is solvable. Then either is solvable or else /O is isomorphic to a subgroup of PΓL(2, q) containing PSL(2, q), …