Geodesic
On products of generalized abnormal supersoluble subgroups of finite groups
Problemy fiziki, matematiki i tehniki, no. 2 (2020), pp. 52-57

Voir la notice de l'article provenant de la source Math-Net.Ru

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 $G$.
Keywords: finite group, supersoluble subgroup, abnormal subgroup, $X$-abnormal subgroup. 
@article{PFMT_2020_2_a8,
     author = {A. F. Vasil'ev},
     title = {On products of generalized abnormal supersoluble subgroups of finite groups},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {52--57},
     publisher = {mathdoc},
     number = {2},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2020_2_a8/}
}
TY  - JOUR
AU  - A. F. Vasil'ev
TI  - On products of generalized abnormal supersoluble subgroups of finite groups
JO  - Problemy fiziki, matematiki i tehniki
PY  - 2020
SP  - 52
EP  - 57
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/PFMT_2020_2_a8/
LA  - ru
ID  - PFMT_2020_2_a8
ER  - 
%0 Journal Article
%A A. F. Vasil'ev
%T On products of generalized abnormal supersoluble subgroups of finite groups
%J Problemy fiziki, matematiki i tehniki
%D 2020
%P 52-57
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/PFMT_2020_2_a8/
%G ru
%F PFMT_2020_2_a8
A. F. Vasil'ev. On products of generalized abnormal supersoluble subgroups of finite groups. Problemy fiziki, matematiki i tehniki, no. 2 (2020), pp. 52-57. http://geodesic.mathdoc.fr/item/PFMT_2020_2_a8/