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3.39 (1969)

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Describe the finite groups with a self-centralizing subgroup of prime order.

Contributor: V. T. Nagrebetskiĭ

Progress

They are described. Self-centralizing subgroups of prime order are CC-subgroups. Finite groups with a CC-subgroup were fully classified in (Z. Arad, W. Herfort, Commun. in Algebra, 32 (2004), 2087–2098).

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