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On zeros of irreducible characters lying in a normal subgroup

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On zeros of irreducible characters lying in a normal subgroup

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dc.contributor.author Felipe Román, María Josefa es_ES
dc.contributor.author Grittini, N. es_ES
dc.contributor.author Sotomayor, Víctor es_ES
dc.date.accessioned 2021-05-12T03:31:44Z
dc.date.available 2021-05-12T03:31:44Z
dc.date.issued 2020-10 es_ES
dc.identifier.issn 0373-3114 es_ES
dc.identifier.uri http://hdl.handle.net/10251/166202
dc.description.abstract [EN] Let N be a normal subgroup of a finite group G. In this paper, we consider the elements g of N such that x(g)¿0 for all irreducible characters x of G. Such an element is said to be non-vanishing in G. Let p be a prime. If all p-elements of N satisfy the previous property, then we prove that N has a normal Sylow p-subgroup. As a consequence, we also study certain arithmetical properties of the G-conjugacy class sizes of the elements of N which are zeros of some irreducible character of G. In particular, if N=G, then new contributions are obtained. es_ES
dc.description.sponsorship The first author is supported by Proyecto Prometeo II/2015/011, Generalitat Valenciana (Spain). The research of the second author is partially funded by the Istituto Nazionale di Alta Matematica - INdAM. The third author acknowledges the predoctoral grant ACIF/2016/170, Generalitat Valenciana (Spain). The first and third authors are also supported by Proyecto PGC2018-096872-B-I00, Ministerio de Ciencia, Innovacion y Universidades (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 Normal subgroups es_ES
dc.subject Irreducible characters es_ES
dc.subject Conjugacy classes es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title On zeros of irreducible characters lying in a normal subgroup es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s10231-020-00942-1 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/GVA//ACIF%2F2016%2F170/ 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/ 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.; Grittini, N.; Sotomayor, V. (2020). On zeros of irreducible characters lying in a normal subgroup. Annali di Matematica Pura ed Applicata (1923 -). 199:1777-1789. https://doi.org/10.1007/s10231-020-00942-1 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1007/s10231-020-00942-1 es_ES
dc.description.upvformatpinicio 1777 es_ES
dc.description.upvformatpfin 1789 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 199 es_ES
dc.relation.pasarela S\405381 es_ES
dc.contributor.funder Generalitat Valenciana es_ES
dc.contributor.funder Agencia Estatal de Investigación es_ES
dc.contributor.funder Istituto Nazionale di Alta Matematica "F. Severi", Italia es_ES
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