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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Groups with central $ 2$-Sylow intersections of rank at most one


Authors: Marcel Herzog and Ernest Shult
Journal: Proc. Amer. Math. Soc. 38 (1973), 465-470
MSC: Primary 20D05; Secondary 20D20
MathSciNet review: 0430055
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Abstract: An involution in a finite group is called central if it lies in the center of a $ 2$-Sylow subgroup of $ G$. A $ 2$-Sylow intersection is called central if it is either trivial or contains a central involution. Suppose $ G$ is a finite simple group all of whose central $ 2$-Sylow intersections are trivial or rank one $ 2$-groups. It is proved that $ G$ is a known simple group.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1973-0430055-3
PII: S 0002-9939(1973)0430055-3
Keywords: Finite simple group, $ 2$-Sylow intersection
Article copyright: © Copyright 1973 American Mathematical Society