Z. Fan, Z. Gao, J. Zhao, B. Gao, “Finite groups in which maximal subgroups of Sylow $p$-subgroups are $\mathcal{M}$-permutable”, Mat. Zametki, 2024, Volume 116, Issue 2,Pages 342

Papers published in the English version of the journal

Finite groups in which maximal subgroups of Sylow $p$-subgroups are $\mathcal{M}$-permutable

Z. Fan^a, Z. Gao^b, J. Zhao^c, B. Gao^d

^a Institute of Applied Mathematics, Jiaozuo Normal College, Jiaozuo, Henan Province, China
^b School of Mathematics and Statistics, Central China Normal University, Wuhan, Hubei Province, China
^c School of Mathematical Sciences, Inner Mongolia University, Hohhot, Inner Mongolia, China
^d School of Mathematics and Statistics, Yili Normal University, Yining, Xinjiang, China

Abstract: In this paper, we investigate the structure of finite groups and obtain the classification of nonabelian chief factors by considering $\mathcal{M}$-permutable maximal subgroups of Sylow $p$-subgroups. We also consider the application of such formations in the theory of finite groups.

Keywords: $\mathcal{M}$-permutable subgroups, chief factor, composition factor, Sylow $p$-subgroups.

MSC: 20D10, 20D20

Received: 26.06.2023
Revised: 10.07.2024

Language: English