Nos hacemos eco de que el plazo para inscribirse a la prueba de ESTALMAT-Comunitat Valenciana 2014-2016 es del 1 al 31 de mayo de 2014. Está abierta a estudiantes nacidos en 2001 y 2002. La prueba se realizará el sábado 7 de junio de 2014 en las aulas que se anunciarán con suficiente antelación de la Universitat d’Alacant, la Universitat Jaume I de Castelló y la Universitat de València.
Más información:
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
Primitive groups and PST-groups
Bull. Aust. Math. Soc., 89 (2014), 373–378
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
The following paper has been accepted for publication.
El siguiente artículo ha sido aceptado para su publicación.
El següent article ha sigut acceptat per ser publicat.
A. Ballester-Bolinches, J. C. Beidleman, R. Esteban-Romero, M. F. Ragland
Some subgroup embeddings in finite groups
J. Adv. Res., in press
http://dx.doi.org/10.1016/j.jare.2014.04.004
We will inform about the publication details.
Informaremos sobre los detalles de la publicación.
N’informarem sobre els detalls de la publicació.
Abstract: In this survey paper several subgroup embedding properties related to some types of permutability are introduced and studied.
20D05, 20D10, 20F16
Keywords: Finite group; Permutability; S-permutability; Semipermutability; Primitive subgroup; Quasipermutable subgroup.
http://permut.blogs.uv.es/2014/05/01/paper-accepted-for-publication-in-j-adv-res/
The following paper has been accepted for publication.
El siguiente artículo ha sido aceptado para su publicación.
El següent article ha sigut acceptat per ser publicat.
A. Ballester-Bolinches, J. C. Beidleman, R. Esteban-Romero, M. F. Ragland
On a class of supersoluble groups
Bull. Aust. Math. Soc., in press
http://dx.doi.org/10.1017/S0004972714000306
We will inform about the publication details.
Informaremos sobre los detalles de la publicación.
N’informarem sobre els detalls de la publicació.
Abstract: A subgroup H of a finite group G is said to be S-permutable in G if H permutes with every Sylow q-subgroup of G for all primes q not dividing |H|. A finite group G is an MS-group if the maximal subgroups of all the Sylow subgroups of G are S-semipermutable in G. The aim of the present paper is to characterise the finite MS-groups.
2010 Mathematics subject classification: 20D10, 20D15, 20D20
Keywords: Finite group, soluble PST-group, T_0-group, MS-group, BT-group.