3 papers
math.GR2025
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 \( χ\) of \( (1_M)^G \) a \( \mathcal{P} \)-character of \( G \) with…
math.GR2025
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…
math.GR2025
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…