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arXiv · 1510.06545

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

Costantino Delizia·Heiko Dietrich·Primoz Moravec·Chiara Nicotera
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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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Costantino Delizia, Heiko Dietrich, Primoz Moravec, Chiara Nicotera. 2016-06-06. Groups in which every non-abelian subgroup is self-centralizing. https://doi.org/10.1016/j.jalgebra.2016.04.035

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