Geodesic
Conditions for $p$-supersolubility and $p$-nilpotency of finite soluble groups
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
Colloquium Mathematicum, Tome 133 (2013) no. 1, pp. 85-98 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 
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     title = {Conditions for $p$-supersolubility and $p$-nilpotency
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 of finite soluble groups
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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

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