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.
The authors wish to thank the support of NSFC (projects no. 11871062 and 12161062), NSFC-RFBR
(project no. 12011530061), and the Natural Science Foundation of Jiangsu Province (project
no. BK20181451).
Citation:
Yuyun Wang, Wei Liu, Long Miao, Jinxing Zhao, Xindan Chen, “The Structure of Finite Groups with an $\mathcal M$-Permutable Sylow Subgroup”, Math. Notes, 113:1 (2023), 129–137