Archivo por meses: noviembre 2021

Paper «Large characteristically simple sections of finite groups» published in Rev. Real Acad. Cienc. Exactas Fís. Nat. Ser. A. Mat. (RACSAM)

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A. Ballester-Bolinches, R. Esteban-Romero, P. Jiménez-Seral
Large characteristically simple sections of finite groups.
Rev. Real Acad. Cienc. Exactas Fís. Nat. Ser. A. Mat. (RACSAM), 116, Article number 41, 2022.

doi: 10.1007/s13398-021-01188-z

Abstract:

In this paper we prove that if G is a group for which there are k non-Frattini chief factors isomorphic to a characteristically simple group A, then G has a normal section C/R that is the direct product of k minimal normal subgroups of G/R isomorphic to A. This is a significant extension of the notion of crown for isomorphic chief factors.

2020 Mathematics Subject Classification: 20E34, 20E28, 20D10, 20P05.

Keywords: finite group, maximal subgroup, probabilistic generation, primitive group, crown.

Charla «Grupos, brazas y la ecuación de Yang-Baxter» de Ramón Esteban Romero en el Seminario GRACIA-RedMat

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Título: Grupos, brazas y la ecuación de Yang-Baxter
Expositor: Ramón Esteban Romero 
Institución: Universitat de València
Fecha:  miércoles 03 de noviembre de  2021 entre 11:00 y 12:00 AM (hora Dominicana) (17:00 hora española)

sesión zoom: https://reuna.zoom.us/j/89895566542?pwd=VzFGNTVzQ1dzbHA0Ujh4cTRmU1Vsdz09
ID de reunión: 898 9556 6542
Código de acceso: 092266

Estamos en YouTube: Canal de YouTube

anuncio: archivo adjunto

https://permut.blogs.uv.es/files/2022/01/Esteban-R.pdf

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Primitivo B. Acosta-Humánez

Coordinador Red Matemática

Grupos, Álgebras, Relatividad, Combinatoria, Integrabilidad y Aritmética

Paper «A positive extension of Eilenberg’s variety theorem for non-regular languages» published in Appl. Algebra Eng. Commun. Comp.

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A. Cano, J. Cantero, A. Martínez-Pastor.
A positive extension of Eilenberg’s variety theorem for non-regular languages.
Appl. Algebra Eng. Commun. Comp., 32:553-573, 2021.

doi: 10.1007/s00200-020-00414-2

Abstract:

In this paper we go further with the study initiated by Behle, Krebs and Reifferscheid (in: Proceedings CAI 2011, Lecture Notes in Computer Science, vol 6742, pp 97–114, 2011), who gave an Eilenberg-type theorem for non-regular languages via typed monoids. We provide a new extension of that result, inspired by the one carried out by Pin in the regular case in 1995, who considered classes of languages not necessarily closed under complement. We introduce the so-called positively typed monoids, and give a correspondence between varieties of such algebraic structures and positive varieties of possibly non-regular languages. We also prove a similar result for classes of languages with weaker closure properties.

2020 Mathematics Subject Classification: 68Q70, 68Q45, 20M07, 20M35.

Keywords: monoids, varieties, formal languages.