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On products of groups and indices not divisible by a given prime

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On products of groups and indices not divisible by a given prime

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Felipe Román, MJ.; Kazarin, LS.; Martínez-Pastor, A.; Sotomayor, V. (2020). On products of groups and indices not divisible by a given prime. Monatshefte für Mathematik. 193(4):811-827. https://doi.org/10.1007/s00605-020-01446-z

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Metadatos del ítem

Título: On products of groups and indices not divisible by a given prime
Autor: Felipe Román, María Josefa Kazarin, Lev S. Martínez-Pastor, Ana Sotomayor, Víctor
Entidad UPV: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Fecha difusión:
Resumen:
[EN] Let the group G = AB be the product of subgroupsAandB, and letpbe a prime. We prove thatpdoes not divide the conjugacy class size (index) of eachp-regular element of prime power order x is an element of A boolean OR ...[+]
Palabras clave: Finite groups , Products of groups , Conjugacy classes , P-structure , Prime graph , Almost simple groups
Derechos de uso: Reserva de todos los derechos
Fuente:
Monatshefte für Mathematik. (issn: 0026-9255 )
DOI: 10.1007/s00605-020-01446-z
Editorial:
Springer-Verlag
Versión del editor: https://doi.org/10.1007/s00605-020-01446-z
Código del Proyecto:
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-096872-B-I00/ES/GRUPOS, ESTRUCTURA LOCAL-GLOBAL E INVARIANTES NUMERICOS/
info:eu-repo/grantAgreement/P.G. Demidov Yaroslavl State University//VIP-008/
info:eu-repo/grantAgreement/Generalitat Valenciana//Prometeo%2F2017%2F057//Grupos y semigrupos: estructura y aplicaciones/
Agradecimientos:
Research supported by Proyecto PGC2018-096872-B-I00 from the Ministerio de Ciencia, Innovacion y Universidades, Spain, and FEDER. The second author is also supported by Project VIP-008 of Yaroslavl P. Demidov State University ...[+]
Tipo: Artículo

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