Paper “Some subgroup embeddings in finite groups” accepted for publication in J. Adv. Res.

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A. Ballester-Bolinches, J. C. Beidleman, R. Esteban-Romero, M. F. Ragland

Some subgroup embeddings in finite groups

J. Adv. Res., in press

http://dx.doi.org/10.1016/j.jare.2014.04.004

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Abstract: In this survey paper several subgroup embedding properties related to some types of permutability are introduced and studied.

2010 Mathematics subject classification:

20D05, 20D10, 20F16

Keywords: Finite group; Permutability; S-permutability; Semipermutability; Primitive subgroup; Quasipermutable subgroup.

http://permut.blogs.uv.es/2014/05/01/paper-accepted-for-publication-in-j-adv-res/

Paper “On a class of supersoluble groups” accepted for publication in Bull. Aust. Math. Soc.

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A. Ballester-Bolinches, J. C. Beidleman, R. Esteban-Romero, M. F. Ragland

On a class of supersoluble groups

Bull. Aust. Math. Soc., in press

http://dx.doi.org/10.1017/S0004972714000306

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Abstract: A subgroup H of a finite group G is said to be S-permutable in G if H permutes with every Sylow q-subgroup of G for all primes q not dividing |H|. A finite group G is an MS-group if the maximal subgroups of all the Sylow subgroups of G are S-semipermutable in G. The aim of the present paper is to characterise the finite MS-groups.
2010 Mathematics subject classification: 20D10, 20D15, 20D20

Keywords: Finite group, soluble PST-group, T_0-group, MS-group, BT-group.

http://permut.blogs.uv.es/2014/05/01/347/

Paper “On the abnormal structure of finite groups” published in Revista Matemática Iberoamericana

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Adolfo Ballester-Bolinches, John Cossey, Ramón Esteban-Romero

On the abnormal structure of finite groups

Rev. Mat. Iberoamericana., 30, 13-24 (2014)

http://dx.doi.org/10.4171/rmi/767

Abstract: We study finite groups in which every maximal subgroup is supersoluble or normal. Our results answer some questions arising from papers of Asaad and Rose.


MSC: 20D10, 20D05, 20F16
Keywords: Finite group, supersoluble group, maximal subgroup

Paper “On the p-length of some finite p-soluble groups” to appear in Israel J. Math.

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A. Ballester-Bolinches, R. Esteban-Romero, Luis M. Ezquerro,

On the p-length of some finite p-soluble groups

Israel J. Math.

 

Abstract

The main aim of this paper is to give structural information of a finite group of minimal order belonging to a subgroup-closed class of finite groups and whose p-length is greater than 1, p a prime number. Alternative proofs and improvements of recent results about the influence of minimal p-subgroups on the p-nilpotence and p-length of a finite group arise as consequences of our study.

 

http://permut.blogs.uv.es/2013/08/19/paper-on-the-p-length-of-some-finite-p-soluble-groups-to-appear-in-israel-j-math/

Paper “Algorithms for permutability in finite groups”

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A. Ballester-Bolinches, E. Cosme-Llópez, R. Esteban-Romero

Algorithms for permutability in finite groups

Cent. Eur. J. Math., 11 (11), 1914-1922 (2013).

Abstract: In this paper we describe some algorithms to identify permutable and Sylow-permutable subgroups of finite groups, Dedekind and Iwasawa finite groups, and finite T-groups (groups in which normality is transitive), PT-groups (groups in which permutability is transitive), and PST-groups (groups in which Sylow permutability is transitive). These algorithms have been implemented in a package for the computer algebra system GAP.

Keywords:  Finite group • Permutable subgroup • S-permutable subgroup • Dedekind group • Iwasawa group • T-group • PT-group • PST-group • Algorithm
Mathematics Subject Classification (2010):  20D10, 20D20, 20-04

http://permut.blogs.uv.es/2013/08/14/paper-algorithms-for-permutability-in-finite-groups/

 

Paper “On a class of generalised Schmidt groups”

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

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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

http://permut.blogs.uv.es/2013/07/23/paper-on-a-class-of-generalised-schmdit-groups/

Article “Maximal subgroups and PST-groups” publicat

Central European Journal of MathematicsHere is the reference for our paper:

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Adolfo Ballester-Bolinches, James C. Beidleman, Ramón Esteban-Romero, Vicent Pérez-Calabuig

Maximal subgroups and PST-groups

Centr. Eur. J. Math., 11(6), 2013, 1078-1082.

http://dx.doi.org/10.2478/s11533-013-0222-z

More information/Més informació/Más información:

http://permut.blogs.uv.es/2013/03/19/publication-data-for-maximal-subgroups-and-pst-groups/

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http://estebanr.blogs.uv.es/2013/03/15/paper-maximal-subgroups-and-pst-groups/

 

Paper “Maximal subgroups and PST-groups”

The research paper “Maximal subgroups and PST-groups” has appeared on the Centr. Eur. J. Math. web page. More info:

http://permut.blogs.uv.es/2013/03/15/paper-maximal-subgroups-and-pst-groups/

http://dx.doi.org/10.2478/s11533-013-0222-z

L’article de recerca “Maximal subgroups and PST-groups” ha aparegut al web de Centr. Eur. J. Math. Més informació:

http://permut.blogs.uv.es/2013/03/15/paper-maximal-subgroups-and-pst-groups/

http://dx.doi.org/10.2478/s11533-013-0222-z

El artículo de investigación “Maximal subgroups and PST-groups” ha aparecido en el web de Centr. Eur. J. Math. Más información:

http://permut.blogs.uv.es/2013/03/15/paper-maximal-subgroups-and-pst-groups/

http://dx.doi.org/10.2478/s11533-013-0222-z