On trivial intersection of cyclic Sylow subgroups

Blau, Harvey I.

doi:10.1090/S0002-9939-1985-0792262-8

On trivial intersection of cyclic Sylow subgroups
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by Harvey I. Blau

Proc. Amer. Math. Soc. 94 (1985), 572-576

DOI: https://doi.org/10.1090/S0002-9939-1985-0792262-8

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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.

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