2 papers
math.GR2022
A classification of finite -groups with a unique -subgroup
Jixia Gao, Dandan Zhang, Haipeng Qu
Finite -groups with a unique -subgroup are classified up to isomorphism. A problem proposed by Berkovich and Janko is solved.
math.GR2020
Finite DC-groups
Dandan Zhang, Haipeng Qu, Yanfeng Luo
Let G be a group and DS(G) = { H'| H is any subgroup of G}. G is said to be a DC-group if DS(G) is a chain. In this paper, we prove that a finite DC-group is a semidirect product o…