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Triply factorised groups and the structure of skew left braces

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dc.contributor.author	Ballester-Bolinches, Adolfo
dc.contributor.author	Esteban Romero, Ramón
dc.date.accessioned	2023-03-23T17:30:14Z
dc.date.available	2023-06-01T04:45:06Z
dc.date.issued	2022
dc.identifier.citation	Ballester Bolinches, Adolfo Esteban Romero, Ramón 2022 Triply factorised groups and the structure of skew left braces Communications In Mathematics And Statistics 10 353 370
dc.identifier.uri	https://hdl.handle.net/10550/85897
dc.description.abstract	The algebraic structure of skew left brace has proved to be useful as a source of set-theoretic solutions of the Yang-Baxter equation. We study in this paper the connections between left and right π -nilpotency and the structure of finite skew left braces. We also study factorisations of skew left braces and their impact on the skew left brace structure. As a consequence of our study, we define a Fitting-like ideal of a left brace. Our approach depends strongly on a description of a skew left brace in terms of a triply factorised group obtained from the action of the multiplicative group of the skew left brace on its additive group.
dc.language.iso	eng
dc.relation.ispartof	Communications In Mathematics And Statistics, 2022, vol. 10, p. 353-370
dc.subject	Matemàtica
dc.title	Triply factorised groups and the structure of skew left braces
dc.type	journal article	es_ES
dc.date.updated	2023-03-23T17:30:14Z
dc.identifier.doi	10.1007/s40304-021-00239-6
dc.identifier.idgrec	143492
dc.embargo.terms	1 year
dc.rights.accessRights	open access	es_ES