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Analysis of institutional authors

Pedraza-Aguilera, McAuthor

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October 11, 2024
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GENERALISED MUTUALLY PERMUTABLE PRODUCTS AND SATURATED FORMATIONS, II

Publicated to: BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY. 110 (2): 313-323 - 2024-01-30 110(2), DOI: 10.1017/S0004972723001430

Authors:

Ballester-Bolinches; A; Madanha; SY; Mudziiri Shumba; TM; Pedraza-Aguilera; MC
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Affiliations

Inst Univ Matemat Pura & Aplicada, Univ Politecn Valencia, Camino Vera - Author
Sobolev Inst Math - Author
Univ Pretoria, Dept Math & Appl Math - Author
Univ Valencia, Dept Matemat, Dr Moliner 50, Burjassot 46100 - Author
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Abstract

A group $G=AB$ is the weakly mutually permutable product of the subgroups A and B, if A permutes with every subgroup of B containing $A \cap B$ and B permutes with every subgroup of A containing $A \cap B$ . Weakly mutually permutable products were introduced by the first, second and fourth authors ['Generalised mutually permutable products and saturated formations', J. Algebra 595 (2022), 434-443] who showed that if $G'$ is nilpotent, A permutes with every Sylow subgroup of B and B permutes with every Sylow subgroup of A, then $G{\mathfrak {F}}=A{\mathfrak {F}}B{\mathfrak {F}} $ , where $ \mathfrak {F} $ is a saturated formation containing $ \mathfrak {U} $ , the class of supersoluble groups. In this article we prove results on weakly mutually permutable products concerning $ \mathfrak {F} $ -residuals, $ \mathfrak {F} $ -projectors and $\mathfrak {F}$ -normalisers. As an application of some of our arguments, we unify some results on weakly mutually $sn$ -products.
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Keywords

Finite-groupsNormalisersProjectorsSaturated formationsSupersoluble groupsWeakly mutually permutable products

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY due to its progression and the good impact it has achieved in recent years, according to the agency Scopus (SJR), it has become a reference in its field. In the year of publication of the work, 2024 there are still no calculated indicators, but in 2023, it was in position , thus managing to position itself as a Q2 (Segundo Cuartil), in the category Mathematics (Miscellaneous). Notably, the journal is positioned en el Cuartil Q3 for the agency WoS (JCR) in the category Mathematics.

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Impact and social visibility

It is essential to present evidence supporting full alignment with institutional principles and guidelines on Open Science and the Conservation and Dissemination of Intellectual Heritage. A clear example of this is:

  • The work has been submitted to a journal whose editorial policy allows open Open Access publication.
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Leadership analysis of institutional authors

This work has been carried out with international collaboration, specifically with researchers from: Russia; South African Republic.

There is a significant leadership presence as some of the institution’s authors appear as the first or last signer, detailed as follows: Last Author (Pedraza Aguilera, María Carmen).

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