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

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.

arXiv commentFixed Theorem 2.17

References in corpus (1)

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

Cited by in corpus (1)

• On finite CG-groups