3 papers
math.CO2021
A family of regular polytopes of order with type
Dong-Dong Hou, Ting-Ting Kong, Hai-Peng Qu
In this paper, we construct an infinite families of group of order which can be an automorphism group of some regular polytope with type , where an…
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…
math.GR2018
Determining sets and determining numbers of finite groups
Dengyin Wang, Shikun Ou, Haipeng Qu
Let be a group. A subset of is a determining set of , if every automorphism of is uniquely determined by its action on . The determining number of , denote…