Paper «On some permutable embeddings of subgroups of finite groups» published in Rend. Lincei Mat. Appl.

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Adolfo Ballester-Bolinches, James C. Beidleman.
On some permutable embeddings of subgroups of finite groups.
Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl., 28(2):339-347, 2017.

doi: 10.4171/RLM/766

Abstract:

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

2020 Mathematics Subject Classification: 20D05, 20D10, 20F16.

Keywords: Finite group, permutability, S-permutability, S-semipermutability.

Paper «On Sylow permutable subgroups of finite groups» published in Forum Math.

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Adolfo Ballester-Bolinches, Hermann Heineken and Francesca Spagnuolo.
On Sylow permutable subgroups of finite groups.
Forum Math., 29(6):1307-1310, 2017.

Abstract:

A subgroup H of a group G is called Sylow permutable, or S-permutable, in G if H permutes with all Sylow p-subgroups of G for all primes p. A group G is said to be a PST-group if Sylow permutability is a transitive relation in G. We show that a group G which is factorised by a normal subgroup and a subnormal PST-subgroup of odd order is supersoluble. As a consequence, the normal closure S^G of a subnormal PST-subgroup S of odd order of a group G is supersoluble, and the subgroup generated by subnormal PST-subgroups of G of odd order is supersoluble as well.

doi: 10.1515/forum-2016-0262

2020 Mathematics Subject Classification: 20D20, 20D35, 20D40, 20E15.

Keywords: Finite groups, subnormal subgroups, permutability, S-permutability.

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.

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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.

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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

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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

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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

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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