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

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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 “Some subgroup embeddings in finite groups” accepted for publication in J. Adv. Res.

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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

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Abstract: In this survey paper several subgroup embedding properties related to some types of permutability are introduced and studied.

2010 Mathematics subject classification:

20D05, 20D10, 20F16

Keywords: Finite group; Permutability; S-permutability; Semipermutability; Primitive subgroup; Quasipermutable subgroup.

 

Paper “Mutually permutable products and conjugacy classes” published in Monatsh. Math.

The following paper has been published.

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A. Ballester-Bolinches, John Cossey, Yangming Li

Mutually permutable products and conjugacy classes

Monatsh. Math., 170, 305-310 (2013)

http://dx.doi.org/10.1285/i15900932v33n1p89

Abstract

A subgroup A of a finite group G is said to be S-permutably embedded in G if for each prime p dividing the order of A, every Sylow p-subgroup of A is a Sylow p-subgroup of some S-permutable subgroup of G. In this paper we determine how the S-permutable embedding of several families of subgroups of a finite group influences its structure

Keywords: Finite group, Permutability, S-permutability, Maximal subgroups,
Minimal subgroups

Mathematics Subject Classification (2010): 20D05, 20D10, 20D35, 20F17

Paper “On S-permutably embedded subgroups of finite groups” to appear in Monatsh. Math.

The following paper has been accepted for publication. We will inform about the publication details.

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A. Ballester-Bolinches,  Yangming Li

On S-permutably embedded subgroups of finite groups

Monatsh. Math.

http://dx.doi.org/10.1007/s00605-013-0497-y

Abstract: A subgroup A of a finite group G is said to be S-permutably embedded in G if for each prime p dividing the order of A, every Sylow p -subgroup of A is a Sylow p-subgroup of some S-permutable subgroup of G. In this paper we determine how the S-permutable embedding of several families of subgroups of a finite group influences its structure.

Keywords: Finite groups, permutability, S-permutability, maximal subgroups, minimal subgroups
Mathematics Subject Classification: 20D05, 20D10, 20D35, 20F17

Paper “On S-permutably embedded subgroups of finite groups” to appear in Monats. Math.

The paper

A. Ballester-Bolinches, Yangming Li

On S-permutably embedded subgroups of finite groups

will be published in Monatshefte für Mathematik. It is available through

http://dx.doi.org/10.1007/s00605-013-0497-y

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

 

El artículo

A. Ballester-Bolinches, Yangming Li

On S-permutably embedded subgroups of finite groups

será publicado en Monatshefte für Mathematik. Está disponible en

http://dx.doi.org/10.1007/s00605-013-0497-y

Informaremos sobre los detalles de publicación. Véase el resumen al final.

 

 

L’article

A. Ballester-Bolinches, Yangming Li

On S-permutably embedded subgroups of finite groups

serà publicat en Monatshefte für Mathematik. Està disponible a

http://dx.doi.org/10.1007/s00605-013-0497-y

Informarem sobre els detalls de publicació. Vegeu el resum al final.

Abstract

A subgroup A of a finite group G is said to be S-permutably embedded in G if for each prime p dividing the order of A, every Sylow p-subgroup of A is a Sylow p-subgroup of some S-permutable subgroup of G. In this paper we determine how the S-permutable embedding of several families of subgroups of a finite group influences its structure

Keywords: Finite group, Permutability, S-permutability, Maximal subgroups,
Minimal subgroups

Mathematics Subject Classification (2000): 20D05, 20D10, 20D35, 20F17