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arXiv · 2304.10198

New characterizations of a normal subgroup to be hypercyclically embedded

Chenchen Cao·Zhenfeng Wu·Chi Zhang
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Abstract

A normal subgroup $E$ of a group $G$ is said to be hypercyclically embedded in $G$ if either $E=1$ or $E\neq 1$ and every chief factor of $G$ below $E$ is cyclic. In this article, we present some new characterizations of a normal subgroup to be hypercyclically embedded. Some recent results in this literature are generalized and unified.

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Chenchen Cao, Zhenfeng Wu, Chi Zhang. 2023-04-20. New characterizations of a normal subgroup to be hypercyclically embedded. https://arxiv.org/abs/2304.10198

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