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arXiv · 1410.6839

On HC-subgroups of a finite group

Lijun Huo·Xiaoyu Chen·Wenbin Guo
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Abstract

A subgroup $H$ of a finite group $G$ is said to be an $\mathscr{H}C$-subgroup of $G$ if there exists a normal subgroup $T$ of $G$ such that $G=HT$ and $H^g \cap N_T(H)\leq H$ for all $g\in G$. In this paper, we investigate the structure of a finite group $G$ under the assumption that certain subgroups of $G$ of arbitrary prime power order are $\mathscr{H}C$-subgroups of $G$.

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Lijun Huo, Xiaoyu Chen, Wenbin Guo. 2014-10-24. On HC-subgroups of a finite group. https://arxiv.org/abs/1410.6839

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