Paper “Algorithms for permutability in finite groups” published in Cent. Eur. J. Math.

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A. Ballester-Bolinches, E. Cosme-Llópez, R. Esteban-Romero

Algorithms for permutability in finite groups

Cent. Eur. J. Math., 11 (11), 1914-1922 (2013).

Abstract: In this paper we describe some algorithms to identify permutable and Sylow-permutable subgroups of finite groups, Dedekind and Iwasawa finite groups, and finite T-groups (groups in which normality is transitive), PT-groups (groups in which permutability is transitive), and PST-groups (groups in which Sylow permutability is transitive). These algorithms have been implemented in a package for the computer algebra system GAP.

Keywords:  Finite group • Permutable subgroup • S-permutable subgroup • Dedekind group • Iwasawa group • T-group • PT-group • PST-group • Algorithm
Mathematics Subject Classification (2010):  20D10, 20D20, 20-04

http://dx.doi.org/10.2478/s11533-013-0299-4

 

Paper “On generalised subnormal subgroups of finite groups” published in Math. Nachr.

The paper

A. Ballester-Bolinches, James Beidleman, A. D. Feldman, M. F. Ragland,

On generalised subnormal subgroups of finite groups

has appeared in Mathematische Nachrichten, 286, No. 11-12, 1066-1171 (2013). It is available through

http://dx.doi.org/10.1002/mana.201200029

See abstract below.

 

El artículo

A. Ballester-Bolinches, James Beidleman, A. D. Feldman, M. F. Ragland,

On generalised subnormal subgroups of finite groups

ha aparecido en Mathematische Nachrichten, 286, No. 11-12, 1066-1171 (2013). Ya está accesible a través de

http://dx.doi.org/10.1002/mana.201200029

Véase el resumen al final.

 

L’article

A. Ballester-Bolinches, James Beidleman, A. D. Feldman, M. F. Ragland,

On generalised subnormal subgroups of finite groups

ha aparegut en Mathematische Nachrichten, 286, No. 11-12, 1066-1171 (2013). Està accessible per mitjà de

http://dx.doi.org/10.1002/mana.201200029

Al final se’n pot veure el resum.

 

Abstract:

Let F be a formation of finite groups. A subgroup M of a finite group G is said to be F-normal in G if G/CoreG(M) belongs to F. A subgroup U of a finite group G is called a K-F-subnormal subgroup of G if either U = G or there exist subgroups U = U0U1 ≤ … ≤ Un = G such that Ui − 1 is either normal or F-normal in Ui, for i = 1, 2, …, n. The K-F-subnormality could be regarded as the natural extension of the subnormality to formation theory and plays an important role in the structural study of finite groups. The main purpose of this paper is to analyse classes of finite groups whose K-F-subnormal subgroups are exactly the subnormal ones. Some interesting extensions of well-known classes of groups emerge.

Keywords: Formation; F-subnormal Subgroup; Subnormal Subgroup; PST-groups; PT-groups; T-groups

MSC (2010): 20D10; 20D35; 20F17

 

https://permut.blogs.uv.es/2013/04/02/paper-on-generalised-subnormal-subgroups-of-finite-groups/

Paper “On generalised subnormal subgroups of finite groups” to appear in Math. Nachr.

Mathematische NachrichtenThe paper

A. Ballester-Bolinches, James Beidleman, A. D. Feldman, M. F. Ragland,

On generalised subnormal subgroups of finite groups

will be published in Mathematische Nachrichten. It is available through

http://dx.doi.org/10.1002/mana.201200029

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

 

El artículo

A. Ballester-Bolinches, James Beidleman, A. D. Feldman, M. F. Ragland,

On generalised subnormal subgroups of finite groups

será publicado en Mathematische Nachrichten. Ya está accesible a través de

http://dx.doi.org/10.1002/mana.201200029

Informaremos sobre los detalles bibliográficos cuando estén disponibles. Véase el resumen al final.

 

L’article

A. Ballester-Bolinches, James Beidleman, A. D. Feldman, M. F. Ragland,

On generalised subnormal subgroups of finite groups

serà publicat en Mathematische Nachrichten. Ja està accessible per mitjà de

http://dx.doi.org/10.1002/mana.201200029

Informarem sobre els detalls bibliogràfics quan estiguen disponibles. Al final es pot veure el resum.

 

Abstract:

Let equation image be a formation of finite groups. A subgroup M of a finite group G is said to be equation image-normal in G if G/CoreG(M) belongs to equation image. A subgroup U of a finite group G is called a K-equation image-subnormal subgroup of G if either U = G or there exist subgroups U = U0U1 ≤ … ≤ Un = G such that Ui − 1 is either normal or equation image-normal in Ui, for i = 1, 2, …, n. The K-equation image-subnormality could be regarded as the natural extension of the subnormality to formation theory and plays an important role in the structural study of finite groups. The main purpose of this paper is to analyse classes of finite groups whose K-equation image-subnormal subgroups are exactly the subnormal ones. Some interesting extensions of well-known classes of groups emerge.

Keywords: Formation; equation image-subnormal Subgroup; Subnormal Subgroup; PST-groups; PT-groups; T-groups

MSC (2010): 20D10; 20D35; 20F17