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Zeros of irreducible characters in factorised groups

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Zeros of irreducible characters in factorised groups

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dc.contributor.author Sotomayor, Víctor es_ES
dc.contributor.author Felipe Román, María Josefa es_ES
dc.contributor.author Martínez-Pastor, Ana es_ES
dc.date.accessioned 2020-10-30T04:32:13Z
dc.date.available 2020-10-30T04:32:13Z
dc.date.issued 2019-02 es_ES
dc.identifier.issn 0373-3114 es_ES
dc.identifier.uri http://hdl.handle.net/10251/153682
dc.description.abstract [EN] An element g of a finite group G is said to be vanishing inG if there exists an irreducible character of G such that (g)=0; in this case, g is also called a zero of G. The aim of this paper is to obtain structural properties of a factorised group G=AB when we impose some conditions on prime power order elements gAB which are (non-)vanishing in G. es_ES
dc.description.sponsorship The first author is supported by Proyecto PrometeoII/2015/011, Generalitat Valenciana (Spain). The second author is supported by Proyecto MTM2014-54707-C3-1-P, Ministerio de Economia, Industria y Competitividad (Spain), and by Proyecto Prometeo/2017/057, Generalitat Valenciana (Spain). The third author acknowledges the predoctoral grant ACIF/2016/170, Generalitat Valenciana Spain). es_ES
dc.language Inglés es_ES
dc.publisher Springer-Verlag es_ES
dc.relation.ispartof Annali di Matematica Pura ed Applicata (1923 -) 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 Irreducible characters es_ES
dc.subject Conjugacy classes es_ES
dc.subject Vanishing elements es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Zeros of irreducible characters in factorised groups es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s10231-018-0765-5 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GVA//PROMETEOII%2F2015%2F011/ES/Caracteres y clases de conjugación de grupos finitos II/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2014-54707-C3-1-P/ES/PROPIEDADES ARITMETICAS Y ESTRUCTURALES DE GRUPOS Y SEMIGRUPOS I/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GVA//PROMETEO%2F2017%2F057/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GVA//ACIF%2F2016%2F170/ 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 Sotomayor, V.; Felipe Román, MJ.; Martínez-Pastor, A. (2019). Zeros of irreducible characters in factorised groups. Annali di Matematica Pura ed Applicata (1923 -). 198:129-142. https://doi.org/10.1007/s10231-018-0765-5 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1007/s10231-018-0765-5 es_ES
dc.description.upvformatpinicio 129 es_ES
dc.description.upvformatpfin 142 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 198 es_ES
dc.relation.pasarela S\364480 es_ES
dc.contributor.funder Generalitat Valenciana es_ES
dc.contributor.funder Ministerio de Economía y Competitividad es_ES
dc.description.references Arroyo-Jordá, M., Arroyo-Jordá, P., Martínez-Pastor, A., Pérez-Ramos, M.D.: On conditional permutability and factorized groups. Ann. Mat. Pura Appl. 193, 1123–1138 (2014) es_ES
dc.description.references Arroyo-Jordá, M., Arroyo-Jordá, P., Pérez-Ramos, M.D.: On conditional permutability and saturated formations. Proc. Edinb. Math. Soc. 54, 309–319 (2011) es_ES
dc.description.references Ballester-Bolinches, A., Cossey, J., Li, Y.: Mutually permutable products and conjugacy classes. Monatsh. Math. 170, 305–310 (2012) es_ES
dc.description.references Ballester-Bolinches, A., Esteban-Romero, R., Asaad, M.: Products of finite groups. Vol. 53 of de Gruyter Expositions in Mathematics, Berlin (2010) es_ES
dc.description.references Bianchi, M., Brough, J., Camina, R.D., Pacifici, E.: On vanishing class sizes in finite groups. J. Algebra 489, 446–459 (2017) es_ES
dc.description.references Brough, J.: Non-vanishing elements in finite groups. J. Algebra 460, 387–391 (2016) es_ES
dc.description.references Brough, J.: On vanishing criteria that control finite group structure. J. Algebra 458, 207–215 (2016) es_ES
dc.description.references Brough, J., Kong, Q.: On vanishing criteria that control finite group structure II. ArXiv (2017). arXiv:1702.03179 es_ES
dc.description.references Camina, A.R., Camina, R.D.: Implications of conjugacy class size. J. Group Theory 1(3), 257–269 (1998) es_ES
dc.description.references Cossey, J., Li, Y.: On the structure of a mutually permutable product of finite groups. Acta Math. Hungar. 154(2), 525–529 (2018) es_ES
dc.description.references Cossey, J., Wang, Y.: Remarks on the length of conjugacy classes of finite groups. Commun. Algebra 27, 4347–4353 (1999) es_ES
dc.description.references Doerk, K., Hawkes, T.: Finite Soluble Groups. Vol. 4 of de Gruyter Expositions in Mathematics, Berlin (1992) es_ES
dc.description.references Dolfi, S., Pacifici, E., Sanus, L.: Groups whose vanishing class sizes are not divisible by a given prime. Arch. Math. (Basel) 94, 311–317 (2010) es_ES
dc.description.references Dolfi, S., Pacifici, E., Sanus, L., Spiga, P.: On the orders of zeros of irreducible characters. J. Algebra 321, 345–352 (2009) es_ES
dc.description.references Felipe, M.J., Martínez-Pastor, A., Ortiz-Sotomayor, V.M.: Square-free class sizes in products of groups. J. Algebra 491, 190–206 (2017) es_ES
dc.description.references Felipe, M.J., Martínez-Pastor, A., Ortiz-Sotomayor, V.M.: Prime power indices in factorised groups. Mediterr. J. Math. 14(6), article: 225 (2017) es_ES
dc.description.references Isaacs, I.M.: Character Theory of Finite Groups. Academic Press Inc., London (1976) es_ES
dc.description.references Isaacs, I.M., Navarro, G., Wolf, T.R.: Finite group elements where no irreducible character vanishes. J. Algebra 222, 413–423 (1999) es_ES
dc.description.references Malle, G., Navarro, G., Olsson, J.B.: Zeros of characters of finite groups. J. Group Theory 3, 353–368 (2000) es_ES


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