Coset complexes of $p$-subgroups in finite groups

Huilong Gu, Hangyang Meng, Xiuyun Guo

Let $G$ be a finite group and $p$ be a prime. We denote by $C_p(G)$ the poset of all cosets of $p$-subgroups of $G$. We characterize the homotopy type of the geometric realization…