Paper “Algorithms for permutability in finite groups”

The following paper has been published:

El siguiente artículo ha sido publicado:

El següent article ha sigut publicat:

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 “Primitive subgroups and PST-groups” to appear in Bull. Aust. Math. Soc.

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, J. C. Beidleman, R. Esteban-Romero

Primitive groups and PST-groups

Bull. Aust. Math. Soc.

http://dx.doi.org/10.1017/S0004972713000592

Abstract

All groups considered in this paper are finite. A subgroup H of a group G is called a primitive subgroup if it is a proper subgroup in the intersection of all subgroups of G containing H as a proper subgroup. He et al. [‘A note on primitive subgroups of finite groups’, Commun. Korean Math. Soc. 28(1) (2013), 55–62] proved that every primitive subgroup of G has index a power of a prime if and only if G/Φ(G) is a solvable PST-group. Let X denote the class of groups G all of whose primitive subgroups have prime power index. It is established here that a group G is a solvable PST-group if and only if every subgroup of G is an X-group.

2010 Mathematics subject classification: primary 20D10; secondary 20D15, 20D20

Keywords and phrases: finite groups, primitive subgroups, solvable PST-groups, T0-groups

http://permut.blogs.uv.es/2013/07/25/paper-primitive-groups-and-pst-groups-to-appear-in-bull-aust-math-soc/

Paper “Graphs and classes of finite groups” published in Note Mat.

The following paper has been published.

El siguiente artículo ha sido publicado.

El següent article ha sigut publicat.

A. Ballester-Bolinches, John Cossey, R. Esteban-Romero

Graphs and classes of finite groups

Note Mat., 33 (1), 89-94 (2013)

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

Abstract. There are different ways to associate to a finite group a certain graph. An interesting question is to analyse the relations between the structure of the group, given in group-theoretical terms, and the structure of the graph, given in the language of graph theory. This survey paper presents some contributions to this research line.
Keywords: finite groups, classes of groups, graphs
MSC 2000 classification: primary 20D10, secondary 05C25

http://permut.blogs.uv.es/2013/06/17/paper-graphs-and-classes-of-finite-groups-published-in-note-mat/

Article “Maximal subgroups and PST-groups” publicat

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

Ací tenim la referència del nostre article:

Aquí tenemos la referencia de nuestro artículo:

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/

This is an update on/Açò és una actualització de/Esto es una actualización de

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