Finite groups in which strong 4-quasinormality is transitive relation
Group Theory
2023-04-28 v1
Abstract
Two subgroups H and K are 4-permutable in G if <H,K> = HKHK, and H is strong 4-quasinormal in G if H is 4-permutable with every subgroups K of G. A finite group G is called Sq4T-group if strong 4-quasinormality is transitive relation among the subgroup of G. In this paper we study finite Sq4T-groups. In particular, we prove that every Sq4T-group is solvable. Some facts related to 4-permutability and illustrating examples are also presented in this paper.
Keywords
Cite
@article{arxiv.2304.14195,
title = {Finite groups in which strong 4-quasinormality is transitive relation},
author = {Khaled A. Al-Sharo},
journal= {arXiv preprint arXiv:2304.14195},
year = {2023}
}