On groups with many subgroups satisfying a transitive normality relation
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http://siba-ese.unisalento.it/index.php/notemat/article/view/29057/23811
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A group $G$ is said to be a {\it $T$-group} if normality in $G$ is a transitive relation. Clearly, as a simple group has the property $T$, it follows that $T$ is not subgroup closed. A group $G$ is called a {\it $\bar T$-group} if all its subgroups are $T$-groups. In this note the structure of groups all of whose (proper) subgroups either are nilpotent or satisfy the property $\bar T$ will be investigated.
提供机构:
University of Salento
创建时间:
2024-09-02



