2 papers
math.GR2022
Finite groups in which every self-centralizing subgroup is a TI-subgroup or subnormal or has -order
Jiangtao Shi
We first give complete characterizations of the structure of finite group in which every subgroup (or non-nilpotent subgroup, or non-abelian subgroup) is a TI-subgroup or subno…
math.GR2022
Finite groups in which every maximal subgroup is nilpotent or normal or has -order
Jiangtao Shi, Na Li, Rulin Shen
Let be a finite group and a fixed prime divisor of . Combining the nilpotence, the normality and the order of groups together, we prove that if every maximal subgroup…