Аннотация:
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.
Fundamental Research Funds for the Central Universities
1014/423135
Tianshan Youth Talent Project of Xinjiang Uygur Autonomous Region
2020Q023
This research is supported by NSFC (grants nos. 12371018, 11871062, 12161062),
Fundamental
Research Funds for the Central Universities (grant no. 1014/423135), NSFC–RFBR
(grant no. 12011530061), and Tianshan Youth Talent Project of Xinjiang Uygur
Autonomous Region (grant no. 2020Q023).
Образец цитирования:
Z. Fan, Z. Gao, J. Zhao, B. Gao, “Finite groups in which maximal subgroups of Sylow $p$-subgroups are $\mathcal{M}$-permutable”, Math. Notes, 116:2 (2024), 342–349