Yuyun Wang, Wei Liu, Long Miao, Jinxing Zhao, Xindan Chen, “The Structure of Finite Groups with an <nobr>$\mathcal M$</nobr>-Permutable Sylow Subgroup”, Mat. Zametki, 2023, Volume 113, Issue 1,Pages <nobr>130

Papers published in the English version of the journal

The Structure of Finite Groups with an $\mathcal M$-Permutable Sylow Subgroup

Yuyun Wang^a, Wei Liu^a, Long Miao^ab, Jinxing Zhao^c, Xindan Chen^a

^a School of Mathematical Sciences, Yangzhou University, Yangzhou, 225002 China
^b College of Science, Hohai University, Nanjing, 210098 China
^c School of Mathematical Sciences, Inner Mongolia University, Inner Mongolia, 010021 China

Abstract: In this paper, we study the structure of finite groups in which some Sylow subgroup is $\mathcal M$-permutable. In particular, we mainly reveal the structure of its formation and the properties of $p$-modular subgroups of some quotient groups.

Keywords: Sylow subgroup, $\mathcal M$-permutable subgroup, $p$-modular subgroup, $p$-supersolvable.

Received: 16.04.2022
Revised: 30.08.2022

Language: English