A topological interpretation about $m_{G,N}$ for finite group $G$ with normal subgroup $N$

Heguo Liu, Xingzhong Xu, Jiping Zhang

Let $G$ be a finite group and $N⊴G$. In this note, we construct a class poset of $G$ for some cyclic subgroup $C$ of $G$. And we find a relation between $m_{G,N}$ and the Eul…