On SSH-subgroups of finite groups

On $\mathcal{SSH}$-subgroups of finite groups

Changwen Li
Siberian Electronic Mathematical Reports, 22, 2, pp. 1073-1079 (2025)

УДК 512.542 
DOI: 10.33048/semi.2025.22.066  
MSC 20D10, 20D20


Abstract:

In this paper, we investigate the influence of $\mathcal{SSH}$-subgroups on the structure of finite groups and some new results on the $p$-nilpotency and $p$-supersolvability of finite groups are obtained.

Keywords: $s$-permutable, $\mathcal{SSH}$-subgroups, $p$-supersolvable, $p$-nil\-potent.