On products of generalized abnormal supersoluble subgroups of finite groups

A. F. Vasil'ev

Problemy fiziki, matematiki i tehniki, no. 2 (2020), pp. 52-57.

Résumé

The concept of an $X$-abnormal subgroup of finite groups is introduced and studied. Several attributes of the supersolubility of finite groups in terms of products of $X$-abnormal subgroups are established. In particular, the supersolubility of the group $G=AB=CD$ is proved, where $A$ and $B$ are subnormal, and $C$ and $D$ are $X$-abnormal supersoluble subgroups in $G$.

Détail

Keywords: finite group, supersoluble subgroup, abnormal subgroup, $X$-abnormal subgroup.

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