Archivo de la etiqueta: Mediterr. J. Math.

Paper «A Note on a Paper of Aivazidis, Safonova and Skiba» published in Mediterr. J. Math.

Posted on por

The following paper has been published:
El siguiente artículo ha sido publicado:
El següent article ha sigut publicat:

M. M. Al-Shomrani, Adolfo Ballester-Bolinches, A. A. Heliel.
A Note on a Paper of Aivazidis, Safonova and Skiba.
Mediterr. J. Math, 18: Article number 213, 2021.

doi: 10.1007/s00009-021-01872-9

Abstract:

The main result of this paper states that if F is a subgroup-closed saturated formation of full characteristic, then the F-residual of a K-F-subnormal subgroup S of a finite group G is a large subgroup of G provided that the F-hypercentre of every subgroup X of G containing S is contained in the F-residual of X. This extends a recent result of Aivazidis, Safonova and Skiba.

2020 Mathematics Subject Classification: 20D10, 20D20.

Keywords: finite group, saturated formation, K-F-subnormal subgroup.

Paper «The Structure Group and the Permutation Group of a Set-Theoretic Solution of the Quantum Yang–Baxter Equation» published in Mediterr. J. Math.

Posted on por

The following paper has been published:
El siguiente artículo ha sido publicado:
El següent article ha sigut publicat:

A. Ballester-Bolinches, R. Esteban-Romero, N. Fuster-Corral, H. Meng.
The Structure Group and the Permutation Group of a Set-Theoretic Solution of the Quantum Yang–Baxter Equation.
Mediterr. J. Math, 18: Article number 145, 2021.

doi: 10.1007/s00009-021-01793-7

Abstract:

We describe the left brace structure of the structure group and the permutation group associated with an involutive, non-degenerate set-theoretic solution of the quantum Yang–Baxter equation using the Cayley graph of its permutation group with respect to its natural generating system. We use our descriptions of the additions in both braces to obtain new properties of the structure and the permutation groups and to recover some known properties of these groups in a more transparent way.

2020 Mathematics Subject Classification: 16T25, 05C25, 20F05, 20F65

Keywords: left brace, Yang-Baxter equation, Cayley graph, structure group.

Paper «Products of groups and class sizes of π-elements» published in Mediterr. J. Math.

Posted on por

The following paper has been published:
El siguiente artículo ha sido publicado:
El següent article ha sigut publicat:

M. J. Felipe, A. Martínez-Pastor, V. M. Ortiz-Sotomayor.
Products of groups and class sizes of π-elements.
Mediterr. J. Math., 17(1):Paper No. 15, 20, 2020.

doi:10.1007/s00009-019-1444-5

Abstract

We provide structural criteria for some finite factorised groups G=AB when the conjugacy class sizes in G of certain π-elements in A ∪ B are either π-numbers or π′-numbers, for a set of primes π. In particular, we extend for products of groups some earlier results.

2020 Mathematics Subject Classification: 20D10, 20D40, 20E45, 20D20

Keywords: finite group; products of groups; conjugacy classes, π-structure

Paper «On factorised finite groups» published in Mediterr. J. Math.

Posted on por

The following paper has been published:
El siguiente artículo ha sido publicado:
El següent article ha sigut publicat:

A. Ballester-Bolinches, Y. Li, M. C. Pedraza-Aguilera, Ning Su.
On factorised finite groups.
Mediterr. J. Math., 17(2):Paper No. 65, 7, 2020.

doi:10.1007/s00009-020-1500-1

Abstract

A subgroup H of a finite group G is called ℙ-subnormal in G if either H = G or it is connected to G by a chain of subgroups of prime indices. In this paper, some structural results of finite groups which are factorised as the product of two ℙ-subnormal subgroups is showed.

2020 Mathematics Subject Classification: 20D10, 20D25

Keywords: finite group; factorised group; w-supersoluble group; ℙ-subnormal subgroup

Paper «On products of generalised supersoluble finite groups» published in Mediterr. J. Math.

Posted on por

The following paper has been published:
El siguiente artículo ha sido publicado:
El següent article ha sigut publicat:

A. Ballester-Bolinches, J. Cossey, H. Meng, M. C. Pedraza-Aguilera.
On products of generalised supersoluble finite groups
Ann. Mat. Pura Appl. (4), 198(3):811–819, 2019.

doi:10.1007/s10231-018-0800-6

Abstract

In this paper, mutually sn-permutable subgroups of groups belonging to a class of generalised supersoluble groups are studied. Some analogs of known theorems on mutually sn-permutable products are established.

2010 Mathematics Subject Classification: 20D10, 20D20

Keywords: Finite group, supersoluble group, Sn-permutability, factorisation

Paper “Prime Power Indices in Factorised Groups” published in Mediterr. J. Math.

Posted on por

The following paper has been published:

El siguiente artículo ha sido publicado:

El següent article ha sigut publicat:

M. J. Felipe, A. Martínez Pastor, and V. M. Ortiz-Sotomayor

Prime power indices in factorised groups.

Mediterr. J. Math., 14(6):Art. 225, 15, 2017

https://doi.org/10.1007/s00605-016-0987-9

Abstract

Let the group G=AB be the product of the subgroups A and B. We determine some structural properties of G when the p-elements in A∪B have prime power indices in G, for some prime p. More generally, we also consider the case that all prime power order elements in A∪B have prime power indices in G. In particular, when G=A=B, we obtain as a consequence some known results.

2010 Mathematics Subject Classification: 20D10, 20D40, 20E45, 20D20

Keywords: Finite groups, Products of groups, Conjugacy classes, Sylow subgroups

Paper “On S-Semipermutable Subgroups and Soluble PST-Groups” published in Mediterr. J. Math.

Posted on por

The following paper has been published:

El siguiente artículo ha sido publicado:

El següent article ha sigut publicat:

R. A. Hijazi, W. M. Fakieh, A. Ballester-Bolinches, and J. C. Beidleman

On S-semipermutable subgroups and soluble PST-groups

Mediterr. J. Math., 14(2):Art. 87, 6, 2017

https://doi.org/10.1007/s00009-017-0893-y

Abstract

All groups presented in this article are finite. Using several permutability embedding properties, a number of new characterisations of soluble PST-groups are studied.

2010 Mathematics subject classification:  20D10; 20D20; 20F16

Keywords: Finite group; Permutability; S-Semipermutability