Paper “On partial CAP-subgroups of finite groups” published in J. Algebra

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Adolfo Ballester-Bolinches, Luis M. Ezquerro, Yangming Li, and Ning Su

On partial CAP-subgroups of finite groups

J. Algebra, 431 (2015), 196–208

http://dx.doi.org/10.1016/j.jalgebra.2015.01.035

Abstract

Given a chief factor H/K of a finite group G, we say that a subgroup A of G avoids H/K if H∩A=K∩A; if HA=KA, then we say that A covers H/K. If A either covers or avoids the chief factors of some given chief series of G, we say that A is a partial CAP-subgroup of G. Assume that G has a Sylow p-subgroup of order exceeding pk. If every subgroup of order pk, where k≥1, and every subgroup of order 4 (when pk=2 and the Sylow 2-subgroups are non-abelian) are partial CAP-subgroups of G, then G is p-soluble of p-length at most 1.

2010 Mathematics subject classification: 20D10; 20D20

Keywords: Finite group; Partial CAP-subgroup; p-soluble group; p-length

 

Paper “On a class of generalised Schmidt groups” published in Ann. Mat. Pura Appl.

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A. Ballester-Bolinches, R. Esteban-Romero, Qinhui Jiang, and Xianhua Li

On a class of generalised Schmidt groups

Ann. Mat. Pura Appl. (4), 194(1) (2015), 77–86

http://dx.doi.org/10.1007/s10231-013-0365-3

Abstract

In this paper families of non-nilpotent subgroups covering the non-nilpotent part of a finite group are considered. An A_5-free group possessing one of these families is soluble, and soluble groups with this property have Fitting length at most three. A bound on the number of primes dividing the order of the group is also obtained.

2010 Mathematics subject classification: 20D05; 20D10; 20F16

Keywords: finite groups; nilpotent groups; maximal subgroups

Charla de Li Yangming

Feb ’14
17
11:00

fotoYangmingEl profesor Li Yangming, de la Guangdong University of Education, impartirá la charla titulada

«Some generalizations of Burnside’s theorem»

el próximo lunes 17 de febrero, a las 11.00, en el seminario del Institut Universitari de Matemàtica Pura i Aplicada de la Universitat Politècnica de València (campus de Vera, edificio 8E, acceso F, 4ª planta).

Estáis todos invitados.

 

Visita profesores Guo, Li y Jiang

Ene ’14Feb
2119

Los profesores Guo Xiuyun (Shanghai University, Shanghai, R. P. China) y Li Yangming (Guangdong University of Education, Guangzhou, R. P. China) y la profesora Jiang Qinhui (University of Jinan, Shandong, R. P. China) visitarán el Departament d’Àlgebra de la Universitat de València y el Institut Universitari de Matemàtica Pura i Aplicada de la Universitat Politècnica de València entre el 21 de enero y el 19 de febrero de 2014. Los tres son expertos en grupos finitos y son colaboradores habituales de nuestro equipo de investigación.

Informaremos más adelante de las charlas que impartan durante su visita.

Paper “On a class of generalised Schmdit groups” published in Ann. Mat. Pura Appl.

The paper

A. Ballester-Bolinches, R. Esteban-Romero, Qinhui Jiang, Xianhua Li

On a class of generalised Schmidt groups

will be published in Annali di Matematica Pura ed Applicata. It is available through

http://dx.doi.org/10.1007/s10231-013-0365-3
(see abstract below). We will inform about the publication details.

El artículo

A. Ballester-Bolinches, R. Esteban-Romero, Qinhui Jiang, Xianhua Li

On a class of generalised Schmidt groups

será publicado en Annali di Matematica Pura ed Applicata. Está disponible en

http://dx.doi.org/10.1007/s10231-013-0365-3
(véase resumen más abajo). Informaremos sobre los detalles de su publicación.

L’article

A. Ballester-Bolinches, R. Esteban-Romero, Qinhui Jiang, Xianhua Li

On a class of generalised Schmidt groups

serà publicat en Annali di Matematica Pura ed Applicata. Està disponible en

http://dx.doi.org/10.1007/s10231-013-0365-3

(vegeu resum més avall). Informarem sobre els detalls de la seua publicació.

Abstract: In this paper families of non-nilpotent subgroups covering the non-nilpotent part
of a finite group are considered. An A_5-free group possessing one of these families is soluble, and soluble groups with this property have Fitting length at most three. A bound on the number of primes dividing the order of the group is also obtained.

Keywords:  Finite groups · Nilpotent groups · Maximal subgroups
Mathematics Subject Classification (2010):  20D05 · 20D10 · 20F16

Paper “Mutually permutable products and conjugacy classes” published in Monatsh. Math.

The following paper has been published.

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El següent article ha sigut publicat.

A. Ballester-Bolinches, John Cossey, Yangming Li

Mutually permutable products and conjugacy classes

Monatsh. Math., 170, 305-310 (2013)

http://dx.doi.org/10.1285/i15900932v33n1p89

Abstract

A subgroup A of a finite group G is said to be S-permutably embedded in G if for each prime p dividing the order of A, every Sylow p-subgroup of A is a Sylow p-subgroup of some S-permutable subgroup of G. In this paper we determine how the S-permutable embedding of several families of subgroups of a finite group influences its structure

Keywords: Finite group, Permutability, S-permutability, Maximal subgroups,
Minimal subgroups

Mathematics Subject Classification (2010): 20D05, 20D10, 20D35, 20F17

Paper “On S-permutably embedded subgroups of finite groups” to appear in Monatsh. Math.

The following paper has been accepted for publication. We will inform about the publication details.

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A. Ballester-Bolinches,  Yangming Li

On S-permutably embedded subgroups of finite groups

Monatsh. Math.

http://dx.doi.org/10.1007/s00605-013-0497-y

Abstract: A subgroup A of a finite group G is said to be S-permutably embedded in G if for each prime p dividing the order of A, every Sylow p -subgroup of A is a Sylow p-subgroup of some S-permutable subgroup of G. In this paper we determine how the S-permutable embedding of several families of subgroups of a finite group influences its structure.

Keywords: Finite groups, permutability, S-permutability, maximal subgroups, minimal subgroups
Mathematics Subject Classification: 20D05, 20D10, 20D35, 20F17

Paper “On S-permutably embedded subgroups of finite groups” to appear in Monats. Math.

The paper

A. Ballester-Bolinches, Yangming Li

On S-permutably embedded subgroups of finite groups

will be published in Monatshefte für Mathematik. It is available through

http://dx.doi.org/10.1007/s00605-013-0497-y

We will inform about the publication details. See abstract below.

 

El artículo

A. Ballester-Bolinches, Yangming Li

On S-permutably embedded subgroups of finite groups

será publicado en Monatshefte für Mathematik. Está disponible en

http://dx.doi.org/10.1007/s00605-013-0497-y

Informaremos sobre los detalles de publicación. Véase el resumen al final.

 

 

L’article

A. Ballester-Bolinches, Yangming Li

On S-permutably embedded subgroups of finite groups

serà publicat en Monatshefte für Mathematik. Està disponible a

http://dx.doi.org/10.1007/s00605-013-0497-y

Informarem sobre els detalls de publicació. Vegeu el resum al final.

Abstract

A subgroup A of a finite group G is said to be S-permutably embedded in G if for each prime p dividing the order of A, every Sylow p-subgroup of A is a Sylow p-subgroup of some S-permutable subgroup of G. In this paper we determine how the S-permutable embedding of several families of subgroups of a finite group influences its structure

Keywords: Finite group, Permutability, S-permutability, Maximal subgroups,
Minimal subgroups

Mathematics Subject Classification (2000): 20D05, 20D10, 20D35, 20F17

 

Paper “Mutually permutable products and conjugacy classes” to appear in Monatsh. Math.

The following paper has been accepted for publication. We will inform about the publication details.

El siguiente artículo ha sido aceptado para su publicación. Informaremos sobre los detalles bibliográficos.

El següent article ha sigut acceptat per a la seua publicació. N’informarem sobre els detalls bibliogràfics.

A. Ballester-Bolinches, John Cossey, Yangming Li

Mutually permutable products and conjugacy classes

Monatsh. Math.

http://dx.doi.org/10.1007/s00605-012-0411-z

Abstract: The question of how certain arithmetical conditions on the lengths of the conjugacy classes of a finite group G influence the group structure has been studied by several authors with many results available. The purpose of this paper is to analyse the restrictions imposed by the lengths of the conjugacy classes of some elements of the factors of a finite group G = G 1G2 · · · Gr , which is the product of the pairwise mutually permutable subgroups G 1, G 2, . . . , Gr , on its structure. Some earlier results appear as corollaries of our main theorems.

Keywords: Finite groups, Mutually permutable products, Conjugacy classes.
Mathematics Subject Classification: 20D10, 20D20, 20D40, 20E45