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Groups whose prime graph on class sizes has a cut vertex

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Groups whose prime graph on class sizes has a cut vertex

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dc.contributor.author Dolfi, Silvio es_ES
dc.contributor.author Pacifici, Emanuele es_ES
dc.contributor.author Sanus, Lucia es_ES
dc.contributor.author Sotomayor, Víctor es_ES
dc.date.accessioned 2023-11-08T19:01:59Z
dc.date.available 2023-11-08T19:01:59Z
dc.date.issued 2021-09 es_ES
dc.identifier.issn 0021-2172 es_ES
dc.identifier.uri http://hdl.handle.net/10251/199469
dc.description.abstract [EN] Let G be a finite group, and let Delta(G) be the prime graph built on the set of conjugacy class sizes of G: this is the simple undirected graph whose vertices are the prime numbers dividing some conjugacy class size of G, two vertices p and q being adjacent if and only if pq divides some conjugacy class size of G. In the present paper, we classify the finite groups G for which Delta(G) has a cut vertex. es_ES
dc.description.sponsorship The research of the first and second authors is partially supported by the Italian PRIN 2015TW9LSR_006 "Group Theory and Applications" and by INdAM-GNSAGA. The research of the third author is supported by the Spanish Ministerio de Ciencia e Innovacion PID2019-103854GB-I00 partly with FEDER funds. The fourth author acknowledges the support of the Spanish Ministerio de Ciencia, Innovacion y Universidades proyecto PGC2018-096872-B-I00, the grant ACIF/2016/170 from Generalitat Valenciana, and the prize Borses Ferran Sunyer i Balaguer 2019. es_ES
dc.language Inglés es_ES
dc.publisher Springer-Verlag es_ES
dc.relation.ispartof Israel Journal of Mathematics es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Groups whose prime graph on class sizes has a cut vertex es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s11856-021-2193-2 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/GENERALITAT VALENCIANA//ACIF%2F2016%2F170//AYUDA CONSELLERIA PARA LA CONTRATACION DE PERSONAL INVESTIGADOR EN FORMACION-ORTIZ SOTOMAYOR (GRUPOS FACTORIZADOS Y CLASES DE CONJUGACIÓN)/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-103854GB-I00/ES/REPRESENTACIONES Y CARACTERES DE GRUPOS IV/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MIUR//PRIN 2015TW9LSR_006/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Escola Tècnica Superior d'Enginyeria Informàtica es_ES
dc.description.bibliographicCitation Dolfi, S.; Pacifici, E.; Sanus, L.; Sotomayor, V. (2021). Groups whose prime graph on class sizes has a cut vertex. Israel Journal of Mathematics. 244(2):775-805. https://doi.org/10.1007/s11856-021-2193-2 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1007/s11856-021-2193-2 es_ES
dc.description.upvformatpinicio 775 es_ES
dc.description.upvformatpfin 805 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 244 es_ES
dc.description.issue 2 es_ES
dc.relation.pasarela S\473789 es_ES
dc.contributor.funder GENERALITAT VALENCIANA es_ES
dc.contributor.funder AGENCIA ESTATAL DE INVESTIGACION es_ES
dc.contributor.funder Agencia Estatal de Investigación es_ES
dc.contributor.funder European Regional Development Fund es_ES
dc.contributor.funder Fundació Ferran Sunyer i Balaguer es_ES
dc.contributor.funder Ministero dell'Istruzione, dell'Università e della Ricerca es_ES
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