Groups with central 2-sylow intersections of rank at most one

Marcel Herzog; Ernest Shult

doi:10.1090/S0002-9939-1973-0430055-3

Groups with central 2-sylow intersections of rank at most one

Marcel Herzog
, Ernest Shult

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	English
Pages (from-to)	465-470
Number of pages	6
Journal	Proceedings of the American Mathematical Society
Volume	38
Issue number	3
DOIs	https://doi.org/10.1090/S0002-9939-1973-0430055-3
State	Published - May 1973

Keywords

2-Sylow intersection
Finite simple group

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10.1090/S0002-9939-1973-0430055-3

Cite this

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AB - 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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Groups with central 2-sylow intersections of rank at most one

Abstract

Keywords

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