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A classification of groups with a centralizer condition
Published online by Cambridge University Press: 17 April 2009
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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- Copyright © Australian Mathematical Society 1976
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