Actualització: Defensa tesi doctoral Enric Cosme 22/10/2015, 12.00, sala graus Química

Oct ’15
22
12:00

portadaTesiEnricCosmeEl proper dijous 22 d’octubre de 2015, a les 12.00, a la sala de graus de la Facultat de Química de la Universitat de València (carrer de Vicent Andrés Estellés, s/n, Burjassot), es procedirà a la defensa de la tesi doctoral d’Enric Cosme i Llópez, dirigida per Adolfo Ballester Bolinches i Jean-Éric Pin i amb títol

«Some contributions to the algebraic theory of automata».

Esteu convidats a assistir a aquest acte.

 Actualització 16/10/2015: La defensa es durà a terme a la sala de graus de la Facultat de Química i no a la de Farmàcia, com inicialment estava previst.

New scientific nonprofit association and journal “AGTA – Advances in Group Theory and Applications”

Dear friends,

I would like to let you know that, following the experience of the series of conferences “Advances in Group Theory and Applications”, the scientific nonprofit association

“AGTA – Advances in Group Theory and Applications”

has been founded  last July. The society aims to promote and disseminate the scientific culture and the research in group theory and its applications, and it wishes to become a reference point for young people intending to start research on this subject, regardless of their geographical origin. To achieve this purpose, AGTA organizes international conferences and publishes a new journal devoted to group theory and its applications, with title

“Advances in Group Theory and Applications”

The first issue of the journal is scheduled for the first half of 2016. Our journal will be printed, but also available in open access modality on the web site of the society. There are no publication processing charges, since all costs associated with the publication and production are covered by AGTA. Papers are accepted after a rigorous peer-review process.

Attached to this message you find the flyer, while the web page of the journal can be found at

www.advgrouptheory.com/journal

I am inviting you to visit also the web site of the society at the address

www.advgrouptheory.com

where you can find informations on the next group theory conferences, and news, historical documents and pictures which can be of interest to members of the group theory community.

Best regards, Francesco

Prof.Dr. Francesco de Giovanni
Dipartimento di Matematica e Applicazioni
via Cintia
I – 80126  Napoli (Italy)
degiovan (at) unina.it
http://www.dma.unina.it/~degiovan

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

The following paper has been published:

El siguiente artículo ha sido publicado:

El següent article ha sigut publicat:

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 “A note on solubly saturated formations of finite groups” published in J. Algebra Appl.

The following paper has been published:

El siguiente artículo ha sido publicado:

El següent article ha sigut publicat:

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 classification20D10, 20D20

KeywordsFinite group; formation; saturation; soluble saturation

Paper “Some subgroup embeddings in finite groups: A mini-review” published in J. Adv. Res.

The following paper has been published:

El siguiente artículo ha sido publicado:

El següent article ha sigut publicat:

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.

The following paper has been published:

El siguiente artículo ha sido publicado:

El següent article ha sigut publicat:

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 classification68Q70; 20D10

KeywordsGroup formation; regular language; finite automata; finite monoid

First announcement Naples 2015 Conference in Group Theory and its applications

Oct ’15Oct
78

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

Paper “On p-nilpotency of hyperfinite groups” published in Monatsh. Math.

The following paper has been published:

El siguiente artículo ha sido publicado:

El següent article ha sigut publicat:

A. Ballester-Bolinches, S. Camp-Mora, and F. Spagnuolo

On p-nilpotency of hyperfinite groups

Monatsh. Math., 176(4) (2015), 497–502

http://dx.doi.org/10.1007/s00605-014-0633-3

Abstract

Let p be a prime. We say that class X of hyperfinite p-groups determines p-nilpotency locally if every finite group G with a Sylow p-subgroup P in X is p-nilpotent if and only if N_G(P) is p-nilpotent. The results of this paper improve a recent result of Kurdachenko and Otal and show that if a hyperfinite group G has a pronormal Sylow p-subgroup in X, then G is p-nilpotent if and only if N_G(P) is p-nilpotent provided that X is closed under taking subgroups and epimorphic images. If X is not closed under taking epimorphic images, we have to impose local p-solubility to G. In this case, the hypothesis of pronormality can be removed.

2010 Mathematics subject classification: 20E15, 20F19, 20F22

Keywords: locally finite group; hyperfinite group; p-nilpotency

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

The following paper has been published:

El siguiente artículo ha sido publicado:

El següent article ha sigut publicat:

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

Paper “Formations of finite monoids and formal languages: Eilenberg’s variety theorem revisited” published in Forum Math.

The following paper has been published:

El siguiente artículo ha sido publicado:

El següent article ha sigut publicat:

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

Formations of finite monoids and formal languages: Eilenberg’s variety theorem revisited

Forum Math., 26(6) (2014), 1737–1761

http://dx.doi.org/10.1515/forum-2012-0055

Abstract

We present an extension of Eilenberg’s variety theorem, a well-known result connecting algebra to formal languages. We prove that there is a bijective correspondence between formations of finite monoids and certain classes of languages, the formations of languages. Our result permits to treat classes of finite monoids which are not necessarily closed under taking submonoids, contrary to the original theory. We also prove a similar result for ordered monoids.

2010 Mathematics subject classification: 20D10; 20M35

KeywordsGroup formations; regular languages; semigroups; automata theory