The 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 be a formation of finite groups. A subgroup M of a finite group G is said to be -normal in G if G/Core_G(M) belongs to . A subgroup U of a finite group G is called a K--subnormal subgroup of G if either U = G or there exist subgroups U = U₀ ≤ U₁ ≤ … ≤ U_n = G such that U_{i − 1} is either normal or -normal in U_i, for i = 1, 2, …, n. The K--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--subnormal subgroups are exactly the subnormal ones. Some interesting extensions of well-known classes of groups emerge.

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

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