On ECP-Groups
Group Theory
2021-06-18 v1
Abstract
According to T. Foguel a subgroup of a group is called conjugate-permutable if for every . Mingyao Xu and Qinhai Zhang studied finite groups with every subgroup conjugate-permutable (ECP-groups) and asked three questions about them. We gave the answers on these questions. In particular, every group of exponent 3 is ECP-group, there exist non-regular ECP--groups and the class of all finite ECP-groups is neither formation nor variety.
Cite
@article{arxiv.2106.09676,
title = {On ECP-Groups},
author = {Viachaslau I. Murashka},
journal= {arXiv preprint arXiv:2106.09676},
year = {2021}
}