4 papers
Hall complement numbers
Yu Zeng, Hangyang Meng
A positive integer is termed a \emph{Hall number} if every finite group whose order is precisely divisible by possesses a Hall subgroup of order . Seeking generaliza…
On permutation characters of finite group
Jiakuan Lu, hangyang Meng
Let be a finite group and \( M \) be a maximal subgroup of \( G \). We call every irreducible constituent \( Ï\) of \( (1_M)^G \) a \( \mathcal{P} \)-character of \( G \) with…
On finitely generated left nilpotent braces
H. Meng, A. Ballester-Bolinches, L. A. Kurdachenko +1
A description of finitely generated left nilpotent braces of class at most two is presented in this paper. The description heavily depends on the fact that if is left nilpotent…
Coset complexes of -subgroups in finite groups
Huilong Gu, Hangyang Meng, Xiuyun Guo
Let be a finite group and be a prime. We denote by the poset of all cosets of -subgroups of . We characterize the homotopy type of the geometric realization…