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A classification of groups with a centralizer condition

Published online by Cambridge University Press:  17 April 2009

Zvi Arad  and
Marcel Herzog
Zvi Arad
Affiliation:
Department of Mathematics, Bar-IIan University, Ramat-Gan, Israel.
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Abstract

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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.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 15 , Issue 1 , August 1976 , pp. 81 - 85
Copyright
Copyright © Australian Mathematical Society 1976

References

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