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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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dc.contributor.author Felipe Román, María Josefa es_ES
dc.contributor.author Kazarin, Lev S. es_ES
dc.contributor.author Martínez-Pastor, Ana es_ES
dc.contributor.author Sotomayor, Víctor es_ES
dc.date.accessioned 2021-11-11T19:30:48Z
dc.date.available 2021-11-11T19:30:48Z
dc.date.issued 2020-12 es_ES
dc.identifier.issn 0026-9255 es_ES
dc.identifier.uri http://hdl.handle.net/10251/176990
dc.description.abstract [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 B if and only if G is p-decomposable, i.e. G = Op(G) x Op '(G) es_ES
dc.description.sponsorship 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 and the third author by Proyecto PROMETEO/2017/057 from the Generalitat Valenciana, Spain es_ES
dc.language Inglés es_ES
dc.publisher Springer-Verlag es_ES
dc.relation.ispartof Monatshefte für Mathematik es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Finite groups es_ES
dc.subject Products of groups es_ES
dc.subject Conjugacy classes es_ES
dc.subject P-structure es_ES
dc.subject Prime graph es_ES
dc.subject Almost simple groups es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title On products of groups and indices not divisible by a given prime es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s00605-020-01446-z es_ES
dc.relation.projectID 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/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/P.G. Demidov Yaroslavl State University//VIP-008/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/Generalitat Valenciana//Prometeo%2F2017%2F057//Grupos y semigrupos: estructura y aplicaciones/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation 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 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1007/s00605-020-01446-z es_ES
dc.description.upvformatpinicio 811 es_ES
dc.description.upvformatpfin 827 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 193 es_ES
dc.description.issue 4 es_ES
dc.relation.pasarela S\418085 es_ES
dc.contributor.funder Generalitat Valenciana es_ES
dc.contributor.funder AGENCIA ESTATAL DE INVESTIGACION es_ES
dc.contributor.funder European Regional Development Fund es_ES
dc.contributor.funder P.G. Demidov Yaroslavl State University es_ES
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