Visita de Paz Jiménez Seral

Feb ’14Feb
2427

Paz Jiménez SeralLa profesora Paz Jiménez Seral, del Departamento de Matemáticas de la Universidad de Zaragoza, visitará la Universitat de València entre el lunes 24 y el jueves 27 de febrero de 2014. Paz es investigadora del proyecto «Propiedades aritméticas y estructurales de los grupos, aplicaciones II», coordinado con el nuestro, y trabaja en el estudio de los grupos finitos a través de sus acciones y en clases de grupos finitos.

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

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

Paper “Languages associated with saturated formations of groups” to appear in Forum Math.

The paper

Adolfo Ballester-Bolinches, Jean-Éric Pin, Xaro Soler-Escrivà

Languages associated with saturated formations of groups

will be published in Forum Mathematicum. It is available through

http://dx.doi.org/10.1515/forum-2012-0161

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

El artículo

Adolfo Ballester-Bolinches, Jean-Éric Pin, Xaro Soler-Escrivà

Languages associated with saturated formations of groups

será publicado en Forum Mathematicum. Está disponible en

http://dx.doi.org/10.1515/forum-2012-0161

Informaremos sobre los detalles de publicación. Véase el resumen más abajo.

 

L’article

Adolfo Ballester-Bolinches, Jean-Éric Pin, Xaro Soler-Escrivà

Languages associated with saturated formations of groups

serà publicat en Forum Mathematicum. Està disponible a

http://dx.doi.org/10.1515/forum-2012-0161

Informarem sobre els detalls de publicació. Vegeu el resum més avall.

 

Abstract

In a previous paper, the authors have shown that Eilenberg’s variety theorem can be extended to more general structures, called formations. In this paper, we give a general method to describe the languages corresponding to saturated formations of groups, which are widely studied in group theory. We recover in this way a number of known results about the languages corresponding to the classes of nilpotent groups, soluble groups and supersoluble groups. Our method also applies to new examples, like the class of groups having a Sylow tower.

Keywords: Group formation; regular language;finite automata; finite monoid

 

 

Publication data for “Maximal subgroups and PST-groups” in Cent. Eur. Math. J.

Central European Journal of MathematicsWe now have the issue and page numbers for the paper we mentioned in http://permut.blogs.uv.es/2013/03/15/paper-maximal-subgroups-and-pst-groups/.

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,

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

Abstract:

A subgroup H of a group G is said to permute with a subgroup K of G if HK is a subgroup of G. H is said to be permutable (resp. S-permutable) if it permutes with all the subgroups (resp. Sylow subgroups) of G. Finite groups in which permutability (resp. S-permutability) is a transitive relation are called PT-groups (resp. PST-groups). PT-, PST- and T-groups, or groups in which normality is transitive, have been extensively studied and characterised. Kaplan [Kaplan G., On T-groups, supersolvable groups, and maximal subgroups, Arch. Math. (Basel), 2011, 96(1), 19–25] presented some new characterisations of soluble T-groups. The main goal of this paper is to establish PT- and PST-versions of Kaplan’s results, which enables a better understanding of the relationships between these classes.

MSC:  20D05, 20D10, 20E15, 20E28, 20F16
Keywords: Finite groups • Permutability • Sylow-permutability • Maximal subgroups • Supersolubility

(c) Versita Sp. z. o. o. and Springer

 

Paper “Maximal subgroups and PST-groups” to appear in Cent. Eur. Math. J.

Central European Journal of MathematicsThe paper

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

Maximal subgroups and PST-groups

Centr. Eur. J. Math., in press

is now available on http://dx.doi.org/10.2478/s11533-013-0222-z.

Abstract:

A subgroup H of a group G is said to permute with a subgroup K of G if HK is a subgroup of G. H is said to be permutable (resp. S-permutable) if it permutes with all the subgroups (resp. Sylow subgroups) of G. Finite groups in which permutability (resp. S-permutability) is a transitive relation are called PT-groups (resp. PST-groups). PT-, PST- and T-groups, or groups in which normality is transitive, have been extensively studied and characterised. Kaplan [Kaplan G., On T-groups, supersolvable groups, and maximal subgroups, Arch. Math. (Basel), 2011, 96(1), 19–25] presented some new characterisations of soluble T-groups. The main goal of this paper is to establish PT- and PST-versions of Kaplan’s results, which enables a better understanding of the relationships between these classes.

MSC:  20D05, 20D10, 20E15, 20E28, 20F16
Keywords: Finite groups • Permutability • Sylow-permutability • Maximal subgroups • Supersolubility

(c) Versita Sp. z. o. o. and Springer

We will inform about the volume and issue this paper is officially published.

 

Congreso «Advances in Group Theory and Applications 2013»

Jun ’13Jun
1014

Transcribimos el primer anuncio del taller «Advances in Group Theory and Applications 2013» en Porto Cesareo (Lecce, Italia) del 10 al 14 de junio de 2013.

AGTA 2013 Porto Cesareo

Dear colleagues,
this is the first announcement of the workshop

Advances in Group Theory and Applications 2013

which will take place in Porto Cesareo (Lecce – Italy) from June 10 to June 14, 2013.

Invited speakers are:

  • Eli Aljadeff (Technion, Israel)
  • Adolfo Ballester-Bolinches (Valencia, Spain)
  • Cristina Draper Fontanals (Málaga, Spain)
  • Antonino Giambruno (Palermo, Italy)
  • Otto H. Kegel (Freiburg i. Br., Germany)
  • Leonid A. Kurdachenko (Dnepropetrovsk, Ukraine)
  • Mahmut Kuzucuoglu (Ankara, Turkey)
  • Patrizia Longobardi (Salerno, Italy)
  • Ángel del Río Mateos (Murcia, Spain)
  • Wolfgang Rump (Stuttgart, Germany)
  • Roland Schmidt (Kiel, Germany)
  • Sudarshan K. Sehgal (Alberta, Canada)
  • Yaroslav P. Sysak (Kiev, Ukraine)

For more detailed information you can visit our website in building

http://poincare.unile.it/adv2013/index.htm

In any case, for any question you can contact the organizers to the following e-mail address:

advances2013@unisalento.it

Please forward this announcement in your group and to people you think interested.

Thank you for cooperation.

Best wishes,

The organizers:

Francesco Catino
Francesco de Giovanni
Martin L. Newell

Visita profesor Francesco de Giovanni

Abr ’13Abr
913

DeGiovanniEl profesor Francesco de Giovanni, del Dipartimento di Matematica e Applicazioni de la Università degli Studi di Napoli «Federico II», visitará el Departament d’Àlgebra de la Universitat de València del martes 9 al sábado 13 de abril de 2013. Francesco de Giovanni es uno de los más destacados investigadores en Italia en el ámbito de la teoría abstracta de grupos infinitos con condiciones de finitud. Es autor de más de 150 publicaciones, entre ellas el libro «Products of groups» (Oxford Mathematical Monographs, Oxford, 1992), y director de 19 tesis doctorales en teoría de grupos. Es también asesor de la Red Ibérica de Teoría de Grupos.

 

Visita profesora Paz Jiménez Seral

Mar ’13Mar
1114

Paz Jiménez Seral

La profesora Paz Jiménez Seral, del Departamento de Matemáticas de la Universidad de Zaragoza, visitará el Departament d’Àlgebra de la Universitat de València del lunes 11 al jueves 14 de marzo de 2013. Paz es investigadora del proyecto «Propiedades aritméticas y estructurales de los grupos. Aplicaciones II», de la Universidad de Zaragoza, coordinado con el nuestro, y trabaja en el estudio de los grupos finitos a través de sus acciones y en clases de grupos finitos.