Geodesic
Conditions for $p$-supersolubility and $p$-nilpotency of finite soluble groups
Wenai Yan1 ; Baojun Li2 ; Zhirang Zhang2
1 College of Mathematics Chengdu University of Information Technology Chengdu 610225, P.R. China
2 College of Mathematics Chengdu University of Information Technology Chengdu 610225, P.R.China
Colloquium Mathematicum, Tome 133 (2013) no. 1, pp. 85-98.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Let $\mathfrak {Z}$ be a complete set of Sylow subgroups of a group $G$. A subgroup $H$ of $G$ is called $\mathfrak {Z}$-permutably embedded in $G$ if every Sylow subgroup of $H$ is also a Sylow subgroup of some $\mathfrak {Z}$-permutable subgroup of $G$. By using this concept, we obtain some new criteria of $p$-supersolubility and $p$-nilpotency of a finite group.
DOI : 10.4064/cm133-1-6
Keywords: mathfrak complete set sylow subgroups group subgroup called mathfrak permutably embedded every sylow subgroup sylow subgroup mathfrak permutable subgroup using concept obtain criteria p supersolubility p nilpotency finite group

Wenai Yan 1 ; Baojun Li 2 ; Zhirang Zhang 2

1 College of Mathematics Chengdu University of Information Technology Chengdu 610225, P.R. China
2 College of Mathematics Chengdu University of Information Technology Chengdu 610225, P.R.China 
@article{10_4064_cm133_1_6,
     author = {Wenai Yan and Baojun Li and Zhirang Zhang},
     title = {Conditions for $p$-supersolubility and $p$-nilpotency
 of finite soluble groups},
     journal = {Colloquium Mathematicum},
     pages = {85--98},
     publisher = {mathdoc},
     volume = {133},
     number = {1},
     year = {2013},
     doi = {10.4064/cm133-1-6},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm133-1-6/}
}
TY  - JOUR
AU  - Wenai Yan
AU  - Baojun Li
AU  - Zhirang Zhang
TI  - Conditions for $p$-supersolubility and $p$-nilpotency
 of finite soluble groups
JO  - Colloquium Mathematicum
PY  - 2013
SP  - 85
EP  - 98
VL  - 133
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm133-1-6/
DO  - 10.4064/cm133-1-6
LA  - en
ID  - 10_4064_cm133_1_6
ER  - 
%0 Journal Article
%A Wenai Yan
%A Baojun Li
%A Zhirang Zhang
%T Conditions for $p$-supersolubility and $p$-nilpotency
 of finite soluble groups
%J Colloquium Mathematicum
%D 2013
%P 85-98
%V 133
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/cm133-1-6/
%R 10.4064/cm133-1-6
%G en
%F 10_4064_cm133_1_6
Wenai Yan; Baojun Li; Zhirang Zhang. Conditions for $p$-supersolubility and $p$-nilpotency
 of finite soluble groups. Colloquium Mathematicum, Tome 133 (2013) no. 1, pp. 85-98. doi : 10.4064/cm133-1-6. http://geodesic.mathdoc.fr/articles/10.4064/cm133-1-6/

Cité par Sources :