Geodesic
Criteria of $p$-supersolubility and supersolubility of finite groups
Problemy fiziki, matematiki i tehniki, no. 1 (2011), pp. 57-61

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

Let $G$ be a finite group, $A$ a subgroup of $G$. Then we say that $A$ is generalized quasinormal in $G$ if $A$ either covers or avoids every maximal pair $(K,H)$ of $G$. We say that $A$ is $m$-supplemented in $G$ if $G$ has a subgroup $T$ and a generalized quasinormal subgroup $C$ such that $G = AT$ and $T \cap A \le C \le A$. Based on these concepts new characterizations of finite $p$-supersoluble and supersoluble groups are obtained.
Mots-clés : maximal pair
Keywords: generalized quasinormal subgroup, $m$-supplemented subgroup, $p$-supersoluble group, supersoluble group. 
@article{PFMT_2011_1_a8,
     author = {V. A. Kovaleva and A. N. Skiba},
     title = {Criteria of $p$-supersolubility and supersolubility of finite groups},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {57--61},
     publisher = {mathdoc},
     number = {1},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2011_1_a8/}
}
TY  - JOUR
AU  - V. A. Kovaleva
AU  - A. N. Skiba
TI  - Criteria of $p$-supersolubility and supersolubility of finite groups
JO  - Problemy fiziki, matematiki i tehniki
PY  - 2011
SP  - 57
EP  - 61
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/PFMT_2011_1_a8/
LA  - ru
ID  - PFMT_2011_1_a8
ER  - 
%0 Journal Article
%A V. A. Kovaleva
%A A. N. Skiba
%T Criteria of $p$-supersolubility and supersolubility of finite groups
%J Problemy fiziki, matematiki i tehniki
%D 2011
%P 57-61
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/PFMT_2011_1_a8/
%G ru
%F PFMT_2011_1_a8
V. A. Kovaleva; A. N. Skiba. Criteria of $p$-supersolubility and supersolubility of finite groups. Problemy fiziki, matematiki i tehniki, no. 1 (2011), pp. 57-61. http://geodesic.mathdoc.fr/item/PFMT_2011_1_a8/