2 papers
math.GR2025
On an extension of Shlyk's theorem
Jiangtao Shi, Fanjie Xu, Na Li
In this paper, we prove that the intersection of all non-nilpotent maximal subgroups of a non-solvable group containing the normalizer of some Sylow subgroup is nilpotent, which pr…
math.GR2024
On generalizations of Iwasawa's theorem
Jiangtao Shi, Fanjie Xu, Mengjiao Shan
Iwasawa's theorem indicates that a finite group is supersolvable if and only if all maximal chains of the identity in have the same length. As generalizations of Iwasawa's…