On finite groups with conditions on the centralizers of p-elements

Zvi Arad; David Chillag

doi:10.1016/0021-8693(78)90142-4

On finite groups with conditions on the centralizers of p-elements

Zvi Arad
, David Chillag

Department of Mathematics

Technion-Israel Institute of Technology

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

7 Scopus citations

Abstract

We classify all finite simple groups in which the centralizer of every element of order 3, θ, is either a 3-group or is isomorphic to 〈θ〉 × A₄. Related results, including sufficient conditions for a Cpp group to be a pCC group and a classification of finite Cpp groups of order relatively prime to 3, are proved.

Original language	English
Pages (from-to)	164-172
Number of pages	9
Journal	Journal of Algebra
Volume	51
Issue number	1
DOIs	https://doi.org/10.1016/0021-8693(78)90142-4
State	Published - Mar 1978

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abstract = "We classify all finite simple groups in which the centralizer of every element of order 3, θ, is either a 3-group or is isomorphic to 〈θ〉 × A4. Related results, including sufficient conditions for a Cpp group to be a pCC group and a classification of finite Cpp groups of order relatively prime to 3, are proved.",

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AB - We classify all finite simple groups in which the centralizer of every element of order 3, θ, is either a 3-group or is isomorphic to 〈θ〉 × A4. Related results, including sufficient conditions for a Cpp group to be a pCC group and a classification of finite Cpp groups of order relatively prime to 3, are proved.

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On finite groups with conditions on the centralizers of p-elements

Abstract

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