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The D-pi-property on products of pi-decomposable groups

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The D-pi-property on products of pi-decomposable groups

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dc.contributor.author Kazarin, L.S. es_ES
dc.contributor.author Martínez-Pastor, Ana es_ES
dc.contributor.author Pérez-Ramos, M. D. es_ES
dc.date.accessioned 2022-10-13T18:06:59Z
dc.date.available 2022-10-13T18:06:59Z
dc.date.issued 2020-11-01 es_ES
dc.identifier.issn 1578-7303 es_ES
dc.identifier.uri http://hdl.handle.net/10251/187679
dc.description.abstract [EN] The aim of this paper is to prove the following result: Let pi be a set of odd primes. If the group G = AB is the product of two p-decomposable subgroups A = A(pi) x A(pi') and B = B-pi x B-pi', then G has a unique conjugacy class of Hall pi-subgroups, and any p-subgroup is contained in a Hall pi-subgroup (i.e. G satisfies property D-pi) es_ES
dc.description.sponsorship Research supported by Proyectos PROMETEO/2017/057 from the Generalitat Valenciana (Valencian Community, Spain), and PGC2018-096872-B-I00 from the Ministerio de Ciencia, Innovacion y Universidades, Spain, and FEDER, European Union; and second author also by Project VIP-008 of Yaroslavl P. Demidov State University. es_ES
dc.language Inglés es_ES
dc.publisher Springer-Verlag es_ES
dc.relation.ispartof Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Finite groups es_ES
dc.subject Product of subgroups es_ES
dc.subject Pi-structure es_ES
dc.subject Simple groups es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title The D-pi-property on products of pi-decomposable groups es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s13398-020-00950-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.contributor.affiliation Universitat Politècnica de València. Instituto Universitario de Matemática Pura y Aplicada - Institut Universitari de Matemàtica Pura i Aplicada es_ES
dc.description.bibliographicCitation Kazarin, L.; Martínez-Pastor, A.; Pérez-Ramos, MD. (2020). The D-pi-property on products of pi-decomposable groups. Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas. 115(1):1-18. https://doi.org/10.1007/s13398-020-00950-z es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://doi.org/10.1007/s13398-020-00950-z es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 18 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 115 es_ES
dc.description.issue 1 es_ES
dc.relation.pasarela S\419534 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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