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A classification of groups with a centralizer condition II

Published online by Cambridge University Press:  17 April 2009

Zvi Arad  and
Marcel Herzog
Zvi Arad
Affiliation:
Department of Mathematics, Bar Ilan University, Ramat-Gan, Israel;
Marcel Herzog
Affiliation:
Department of Mathematics, Institute of Advanced Studies, AustraIian National University, Canberra, ACT.
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Abstract

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Let G be a finite group. A nontrivial proper subgroup M of G is called a CC-subgpoup if M contains the centralizer in G of each of its nonidentity elements. In this paper groups containing a CC-subgroup of order divisible by 3 are completely determined.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 16 , Issue 1 , February 1977 , pp. 55 - 60
Copyright
Copyright © Australian Mathematical Society 1977

References

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