Groups in which every non-abelian subgroup is self-centralizing

Published 22 Oct 2015 in math.GR | (1510.06545v2)

Abstract: We study groups having the property that every non-abelian subgroup contains its centralizer. We describe various classes of infinite groups in this class, and address a problem of Berkovich regarding the classification of finite $p$-groups with the above property.

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