3 papers
math.CO2026
Characterizing Finite Groups via Subgroup Perfect Codes
Binbin Li, Jingjian Li, Wei Meng +1
A perfect code in a graph is a subset of such that no two vertices in are adjacent and every vertex in is adjacent to exactly one vertex in…
math.GR2026
On SS-quasinormalities of the maximal subgroup series of finite groups
Wei Meng, Jiakuan Lu
Let be finite group. A subgroup of is said to be an -quasinormal subgroup of , if there exists a subgroup of such that and permutes with eve…
math.GR2025
Finite groups with few subgroups not in the Chermak-Delgado lattice
Jiakuan Lu, Xi Huang, Qinwei Lian +1
For a finite group G, we denote by v(G) the number of conjugacy classes of subgroups of G not in CD(G). In this paper, we determine the finite groups G such that v(G)=1,2,3.