Groups in which every non-abelian subgroup is self-normalized
Group Theory
2016-10-21 v2
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.
Cite
@article{arxiv.1607.07366,
title = {Groups in which every non-abelian subgroup is self-normalized},
author = {Costantino Delizia and Urban Jezernik and Primoz Moravec and Chiara Nicotera},
journal= {arXiv preprint arXiv:1607.07366},
year = {2016}
}
Comments
Fixed Theorem 2.17