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arXiv · 2304.14195

Finite groups in which strong 4-quasinormality is transitive relation

Khaled A. Al-Sharo
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Abstract

Two subgroups H and K are 4-permutable in G if = 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.

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Khaled A. Al-Sharo. 2023-04-27. Finite groups in which strong 4-quasinormality is transitive relation. https://arxiv.org/abs/2304.14195

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