Finite Groups in Which Sylow 2-Subgroups are Abelian and Centralizers of Involutions are Solvable
- 1 January 1965
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 17, 860-906
- https://doi.org/10.4153/cjm-1965-085-x
Abstract
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), where either q = 3 or 5 (mod 8), q ≥ 5, or q = 2n, n ≥ 2.Keywords
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