2 papers
math.GR2024
Finite groups with some particular maximal invariant subgroups being nilpotent or all non-nilpotent maximal invariant subgroups being normal
Jiangtao Shi, Fanjie Xu
Let and be finite groups such that acts coprimely on by automorphisms. We provide a complete classification of a finite group in which every maximal -invaria…
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…