Archivo de la etiqueta: Yangming Li

Paper “On finite p-nilpotent groups” published in Monatsh. Math.

Posted on por

The following paper has been published

El siguiente artículo ha sido publicado

El següent article ha sigut publicat

Adolfo Ballester-Bolinches, Xiuyun Guo, Yangming Li, and Ning Su.

On finite p-nilpotent groups.

Monatsh. Math., 181(1):63–70, 2016

https://doi.org/10.1007/s00605-015-0803-y

Abstract

In this paper the structure of a minimal counterexample among the non-p-nilpotent groups having p-nilpotent p-Sylow normalisers is analysed. Several p-nilpotency criteria and many earlier results follow from our main theorem.

2010 Mathematics Subject Classification: 20D10, 20D20

Keywords: Finite groups, p-nilpotency, Minimal subgroups, Sylow normalisers

Paper “On π-S-permutable subgroups of finite groups” published in Mediterr. J. Math.

Posted on por

The following paper has been published

El siguiente artículo ha sido publicado

El següent article ha sigut publicat

A. Ballester-Bolinches, Yangming Li, Ning Su, and Zhuoqing Xie.

On π-S-permutable subgroups of finite groups.

 Mediterr. J. Math., 13(1):93–99, 2016

https://doi.org/10.1007/s00009-014-0479-x

Abstract

Let π be a set of primes. A subgroup H of a finite group G is said to be π-S-permutable in G if H permutes with every Sylow q-subgroup of G for all primes q ∈ π. The main aim of this paper is to establish structural results about the normal closure of π-S-permutable subgroups and p-subgroups permuting with all p′-subgroups for a single prime p. Our results stem from a recent article by Isaacs and subsequent discussions with the authors about it.

2010 Mathematics Subject Classification: Primary 20D10; Secondary 20D15, 20D20, 20D40

Keywords: Finite group, Permutability, S-permutability, S-semipermutability, Normal closure