Defensa tesis doctoral Francesca Spagnuolo 21/02/2017 12.00

Feb
21
12:00

El próximo martes día 21 de febrero de 2017, a las 12.00, se procederá a la defensa de la tesis doctoral de Francesca Spagnuolo titulada «Some results on locally finite groups», dirigida por Adolfo Ballester Bolinches y Francesco de Giovanni, en el salón de grados de la Facultat de Matemàtiques de la Universitat de València.

Estáis todos invitados.

 

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 “Groups whose primary subgroups are normal sensitive” published in Monatsh. Math.

The following paper has been published:

El siguiente artículo ha sido publicado:

El següent article ha sigut publicat:

Adolfo Ballester-Bolinches, Leonid A. Kurdachenko, Javier Otal, and Tatiana Pedraza

Groups whose primary subgroups are normal sensitive

Monatsh. Math., 175(2) (2014), 175–185

http://dx.doi.org/10.1007/s00605-013-0566-2

Abstract

A subgroup H of a group G is said to be normal sensitive in G if for every normal subgroup N of H,N=H∩NG. In this paper we study locally finite groups whose p-subgroups are normal sensitive. We show the connection between these groups and groups in which Sylow permutability is transitive.

2010 Mathematics subject classification: 20E07; 20E15; 20F22; 20F50

Keywords: Locally finite group; Normal sensitivity; Primary subgroup; PST-group; T-group

Paper “A note on Sylow permutable subgroups of infinite groups” published in J. Algebra

The following paper has been published.

El siguiente artículo ha sido publicado.

El següent article ha sigut publicat.

A. Ballester-Bolinches, S. Camp-Mora, L. A. Kurdachenko

A note on Sylow permutable subgroups of infinite groups

J. Algebra, 398, 156-161 (2014)

http://dx.doi.org/10.1016/j.jalgebra.2013.08.042

Abstract: A subgroup A of a periodic group G is said to be Sylow permutable,
or S-permutable, subgroup of G if A P = P A for all Sylow subgroups
P of G. The aim of this paper is to establish the local nilpotency
of the section A^G /Core_G( A) for an S-permutable subgroup A of a
locally finite group G.
MSC: 20E15, 20F19, 20F22
Keywords: Locally finite group, Hyperfinite group, Sylow permutability, Ascendant subgroup

Paper “Groups with every subgroup ascendant-by-finite” published in Cent. Eur. J. Math.

The following paper has been published.

El siguiente artículo ha sido publicado.

El següent article ha sigut publicat.

Sergio Camp-Mora

Groups with every subgroup ascendant-by-finite

Cent. Eur. J. Math., 11(12), 2182-2185 (2013)

http://dx.doi.org/10.2478/s11533-013-0312-y

Abstract: A subgroup H of a group G is called ascendant-by-finite in G if there exists a subgroup K of H such that K is ascendant in G and the index of K in H is finite. It is proved that a locally finite group with every subgroup ascendant-by-finite is locally nilpotent-by-finite. As a consequence, it is shown that the Gruenberg radical has finite index in the whole group.

MSC:  20F19, 20F22, 20F50
Keywords: Ascendant subgroup, Locally nilpotent, Radical, Locally finite group

Paper “Groups whose primary subgroups are normal sensitive” to appear in Monatsh. Math.

The following paper is now available on line. We will announce the publication details.

El siguiente artículo está disponible en línea. Anunciaremos los detalles bibliográficos.

El següent article està disponible en línia. N’anunciarem els detalls bibliogràfics.

Adolfo Ballester-Bolinches, Leonid A. Kurdachenko, Javier Otal, Tatiana Pedraza

Groups whose primary subgroups are normal sensitive

Monats. Math.

http://dx.doi.org/10.1007/s00605-013-0566-2

Abstract: A subgroup H of a group G is said to be normal sensitive in G if for every normal subgroup N of H, N = H ∩ N^G . In this paper we study locally finite groups whose p-subgroups are normal sensitive. We show the connection between these groups and groups in which Sylow permutability is transitive.

Keywords: Locally finite group, Normal sensitivity, Primary subgroup, PST-group, T-group

Mathematics Subject Classification (2000):  20E07, 20E15, 20F22, 20F50