Chenchen Cao, Zhenfeng Wu, Chi Zhang
Published 2023-04-20Version 1
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.
Characterizations of some classes of finite $σ$-soluble $Pσ T$-groups
Some Characterizations of a Normal Subgroup of a Group
On strong $p$-$CAP$-subgroups of finite groups and saturated fusion systems
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