1985•Proceedings of the American Mathematical SocietyRequires access
On Trivial Intersection of Cyclic Sylow Subgroups
Harvey I. Blau
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Abstract
The classification of finite simple groups is used to prove that a cyclic Sylow subgroup of a finite simple group must be a trivial intersection set. Applications to character theory, and a necessary and sufficient condition for a cyclic Sylow subgroup of an arbitrary finite group to be a trivial intersection set, are obtained as corollaries.