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Finite groups whose prime graph on class sizes is a block square

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Finite groups whose prime graph on class sizes is a block square

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dc.contributor.author Sotomayor, Víctor es_ES
dc.date.accessioned 2023-07-28T18:02:45Z
dc.date.available 2023-07-28T18:02:45Z
dc.date.issued 2022-09-02 es_ES
dc.identifier.issn 0092-7872 es_ES
dc.identifier.uri http://hdl.handle.net/10251/195700
dc.description This is an Author's Accepted Manuscript of an article published in V. Sotomayor (2022) Finite groups whose prime graph on class sizes is a block square, Communications in Algebra, 50:9, 3995-3999, DOI: 10.1080/00927872.2022.2057508 [copyright Taylor & Francis], available online at: http://www.tandfonline.com/10.1080/00927872.2022.2057508 es_ES
dc.description.abstract [EN] Let G be a finite group, and let Delta(G) be the prime graph built on its set of conjugacy class sizes: this is the (simple undirected) graph whose vertices are the prime numbers dividing some conjugacy class size of G, and two distinct vertices p, q are adjacent if and only if pq divides some class size of G. In this paper, we characterize the structure of those groups G whose prime graph Delta(G) is a block square. es_ES
dc.description.sponsorship This research is supported by Proyecto PGC2018-096872-B-I00 from the Ministerio de Ciencia, Innovacion y Universidades (Spain), and Proyecto AICO/2020/298 from the Generalitat Valenciana (Spain). es_ES
dc.language Inglés es_ES
dc.publisher Taylor & Francis es_ES
dc.relation.ispartof Communications in Algebra es_ES
dc.rights Reconocimiento - No comercial (by-nc) es_ES
dc.subject Finite groups es_ES
dc.subject Conjugacy classes es_ES
dc.subject Prime graph es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Finite groups whose prime graph on class sizes is a block square es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1080/00927872.2022.2057508 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/GVA//AICO%2F2020%2F298//ESTRUCTURA DE GRUPOS FINITOS: CLASES DE CONJUGACIÓN Y CARACTERES/ 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 Sotomayor, V. (2022). Finite groups whose prime graph on class sizes is a block square. Communications in Algebra. 50(9):3995-3999. https://doi.org/10.1080/00927872.2022.2057508 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1080/00927872.2022.2057508 es_ES
dc.description.upvformatpinicio 3995 es_ES
dc.description.upvformatpfin 3999 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 50 es_ES
dc.description.issue 9 es_ES
dc.relation.pasarela S\473795 es_ES
dc.contributor.funder Generalitat Valenciana es_ES
dc.contributor.funder AGENCIA ESTATAL DE INVESTIGACION es_ES


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