On trivial intersection of cyclic Sylow subgroups-Reference-Cited by-同舟云学术

On trivial intersection of cyclic Sylow subgroups

Published:1985 Issue:4 Volume:94 Page:572-576
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Blau Harvey I.

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1985-094-04/S0002-9939-1985-0792262-8/S0002-9939-1985-0792262-8.pdf

Reference10 articles.

1. On Brauer stars;Blau, Harvey I.;J. Algebra,1984

2. Character degrees of groups with a cyclic Sylow subgroup;Blau, Harvey I.;Comm. Algebra,1985

3. Pure and Applied Mathematics, Vol. 28;Carter, Roger W.,1972

4. Centralizers of semisimple elements in finite groups of Lie type;Carter, R. W.;Proc. London Math. Soc. (3),1978

5. Centralizers of semisimple elements in the finite classical groups;Carter, R. W.;Proc. London Math. Soc. (3),1981

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