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

Heguo Liu; Xingzhong Xu; Jiping Zhang

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arXiv · 1803.01583

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

Heguo Liu·Xingzhong Xu·Jiping Zhang

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Abstract

Let $G$ be a finite group and $N\unlhd G$. 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 Euler characteristic of some nerve spaces of these posets(see Main Theorem).

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BibTeX RIS

Heguo Liu, Xingzhong Xu, Jiping Zhang. 2018-03-05. A topological interpretation about $m_{G, N}$ for finite group $G$ with normal subgroup $N$. https://arxiv.org/abs/1803.01583

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