New characterizations of a normal subgroup to be hypercyclically embedded
Autor: | Cao, Chenchen, Wu, Zhenfeng, Zhang, Chi |
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Rok vydání: | 2023 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | 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. |
Databáze: | arXiv |
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