Archivo por meses: mayo 2015

Paper «A note on solubly saturated formations of finite groups» published in J. Algebra Appl.

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A. Ballester-Bolinches, S. F. Kamornikov

A note on solubly saturated formations of finite groups

J. Algebra Appl., 14(4) (2015), 1550047, 4

http://dx.doi.org/10.1142/S0219498815500474

Abstract

The main aim of this note is to give a criterion for a subgroup-closed formation to be solubly saturated, which we hope may provide a useful proving ground for outstanding questions about this family of formations.

Read More: http://www.worldscientific.com/doi/10.1142/S0219498815500474

2010 Mathematics subject classification: 20D10, 20D20

Keywords: Finite group; formation; saturation; soluble saturation

Paper «Some subgroup embeddings in finite groups: A mini-review» published 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: A mini-review

J. Adv. Res., 6(3) (2015), 359–362

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

Abstract

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

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

Paper «Languages associated with saturated formations of groups» published in Forum Math.

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

Languages associated with saturated formations of groups

Forum Math., 27(3) (2015), 1471–1505

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

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.

2010 Mathematics subject classification: 68Q70; 20D10

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

First announcement Naples 2015 Conference in Group Theory and its applications

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Dear Colleagues,
this is the first announcement of the Conference

Naples 2015 Conference in Group Theory and its applications

which will take place in Naples from Wednesday, October 7 to Thursday, October 8, 2015.

Invited speakers are:

  • Bernard Amberg (Mainz, Germany)
  • Adolfo Ballester-Bolinches (València , Spain)
  • Carlo Casolo (Firenze, Italy)
  • Dikran Dikranjan (Udine, Italy)
  • Alberto Facchini  (Padova, Italy)
  • Marco Fontana (Roma, Italy)
  • Antonino Giambruno (Palermo, Italy)
  • Patrizia Longobardi (Salerno, Italy)
  • Mercede Maj  (Salerno, Italy)
  • Derek J.S. Robinson (Urbana, USA)
  • Yaroslav P. Sysak (Kiev, Ukraine)

For more detailed information you can visit our web site in building

http://www.cgt2015.unina.it

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

infocgt2015@unina.it

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

Thank you for cooperation.

Best wishes,

The organizers:
Francesco Catino
Maria De Falco
Maddalena Miccoli
Carmen Musella