A classification of groups with a centralizer condition

Zvi Arad

doi:10.1017/S0004972700036789

A classification of groups with a centralizer condition

Zvi Arad

Department of Mathematics

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

8 Scopus citations

Abstract

Let G be a finite group. A nontrivial subgroup M of G is called a CC-subgroup if M contains the centralizer in G of each of its nonidentity elements. The purpose of this paper is to classify groups with a CC-subgroup of order divisible by 3. Simple groups satisfying that condition are completely determined.

Original language	English
Pages (from-to)	81-85
Number of pages	5
Journal	Bulletin of the Australian Mathematical Society
Volume	15
Issue number	1
DOIs	https://doi.org/10.1017/S0004972700036789
State	Published - Aug 1976

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abstract = "Let G be a finite group. A nontrivial subgroup M of G is called a CC-subgroup if M contains the centralizer in G of each of its nonidentity elements. The purpose of this paper is to classify groups with a CC-subgroup of order divisible by 3. Simple groups satisfying that condition are completely determined.",

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A classification of groups with a centralizer condition

Abstract

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