Groups in which every non-nilpotent subgroup is self-normalizing
Group Theory
2017-05-18 v1
Abstract
We study the class of groups having the property that every non-nilpotent subgroup is equal to its normalizer. These groups are either soluble or perfect. We completely describe the structure of soluble groups and finite perfect groups with the above property. Furthermore, we give some structural information in the infinite perfect case.
Cite
@article{arxiv.1705.06265,
title = {Groups in which every non-nilpotent subgroup is self-normalizing},
author = {C. Delizia and U. Jezernik and P. Moravec and C. Nicotera},
journal= {arXiv preprint arXiv:1705.06265},
year = {2017}
}
Comments
16 pages