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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Communicated by A. Constantin.
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Delizia, C., Jezernik, U., Moravec, P. et al. Groups in which every non-abelian subgroup is self-normalizing. Monatsh Math 185, 591–600 (2018). https://doi.org/10.1007/s00605-017-1035-0
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DOI: https://doi.org/10.1007/s00605-017-1035-0