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Groups in which every non-abelian subgroup is self-normalized
Published 25 Jul 2016 in math.GR | (1607.07366v2)
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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