On finite trifactorised groups and Sylow and Hall theorems for skew braces

Abstract The aim of this short note is to show that the Sylow theorem (respectively Hall theorem) for finite skew braces proved by Truman in [4] is a direct consequence of the Sylow structure (resp. Hall structure) of a finite trifactorised group. A Cauchy theorem for finite skew braces naturally emerges.

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Publication Details

Journal
Ricerche di Matematica
Published
2026-08-26
DOI
https://doi.org/10.1007/s11587-026-01167-9
Primary Topic
Homotopy and Cohomology in Algebraic Topology
Type
article
Field-Weighted Citation Impact
0.00

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article

On finite trifactorised groups and Sylow and Hall theorems for skew braces

P. Pérez-Altarriba, V. Pérez-Calabuig, A Ballester-Bolinches
Ricerche di Matematica
Homotopy and Cohomology in Algebraic Topology
article

On finite trifactorised groups and Sylow and Hall theorems for skew braces

P. Pérez-Altarriba, V. Pérez-Calabuig, A Ballester-Bolinches
article en

Abstract

Abstract The aim of this short note is to show that the Sylow theorem (respectively Hall theorem) for finite skew braces proved by Truman in [4] is a direct consequence of the Sylow structure (resp. Hall structure) of a finite trifactorised group. A Cauchy theorem for finite skew braces naturally emerges.

Ricerche di Matematica
Universitat de València (ES)
Ministerio de Ciencia, Innovación y Universidades, Generalitat Valenciana, European Regional Development Fund, Agencia Estatal de Investigación, Conselleria de Cultura, Educación y Ciencia, Generalitat Valenciana
Openalex Percentile: Top 27%
Homotopy and Cohomology in Algebraic Topology
DOIOpen Access PDFOpenAlex
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