New characterizations of a normal subgroup to be hypercyclically embedded
Group Theory
2023-04-21 v1
Abstract
A normal subgroup of a group is said to be hypercyclically embedded in if either or and every chief factor of below is cyclic. In this article, we present some new characterizations of a normal subgroup to be hypercyclically embedded. Some recent results in this literature are generalized and unified.
Cite
@article{arxiv.2304.10198,
title = {New characterizations of a normal subgroup to be hypercyclically embedded},
author = {Chenchen Cao and Zhenfeng Wu and Chi Zhang},
journal= {arXiv preprint arXiv:2304.10198},
year = {2023}
}