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

2016/07/25 by Delizia, Costantino, Jezernik, Urban, Moravec, Primoz +1
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1607.07366

Abstract

We study groups having the property that every non-abelian subgroup is equal to its normalizer. This class of groups is closely related to an open problem posed by Berkovich. We give a full classification of finite groups having the above property. We also describe all infinite soluble groups in this class.

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