Connectivity of $p$-subgroup posets with irreducible characters

Hangyang Meng, Yuting Yang

Let $G$ be a finite group. For a prime $p$ and an integer $e\ge 0$, we denote by ${\Gamma }_{p,e}(G)$ the set of all pairs $(H,\phi )$, where $H$ is a $p$-subgroup of $G$ of order greater t…