Conditions for p-supersolubility and p-nilpotency of finite soluble groups

• Autorzy: Wenai Yan , Baojun Li , Zhirang Zhang
• Języki publikacji: EN

Abstrakty

EN

Let ℨ be a complete set of Sylow subgroups of a group G. A subgroup H of G is called ℨ-permutably embedded in G if every Sylow subgroup of H is also a Sylow subgroup of some ℨ-permutable subgroup of G. By using this concept, we obtain some new criteria of p-supersolubility and p-nilpotency of a finite group.

Kategorie tematyczne

• 20D20: Sylow subgroups, Sylow properties, π -groups, π -structure
• 20D10: Solvable groups, theory of formations, Schunck classes, Fitting classes, π -length, ranks

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2013
• Tom: 133
• Numer: 1
• Strony: 85-98

Daty

wydano

2013

Twórcy

autor

Wenai Yan

• College of Mathematics, Chengdu University of Information Technology, Chengdu 610225, P.R. China

autor

Baojun Li

• College of Mathematics, Chengdu University of Information Technology, Chengdu 610225, P.R.China

autor

Zhirang Zhang

• College of Mathematics, Chengdu University of Information Technology, Chengdu 610225, P.R.China

Identyfikatory

DOI

10.4064/cm133-1-6