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The number of maximal subgroups and probabilistic generation of finite groups

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The number of maximal subgroups and probabilistic generation of finite groups

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Nombre: Ballester-Bolinch ...
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dc.contributor.author Ballester-Bolinches, Adolfo es_ES
dc.contributor.author Esteban Romero, Ramón es_ES
dc.contributor.author Jiménez-Seral, Paz es_ES
dc.contributor.author Meng, Hangyang es_ES
dc.date.accessioned 2021-07-20T03:30:51Z
dc.date.available 2021-07-20T03:30:51Z
dc.date.issued 2020-03 es_ES
dc.identifier.issn 2251-7650 es_ES
dc.identifier.uri http://hdl.handle.net/10251/169538
dc.description.abstract [EN] In this survey we present some significant bounds for the number of maximal subgroups of a given index of a finite group. As a consequence, new bounds for the number of random generators needed to generate a finite d-generated group with high probability which are significantly tighter than the ones obtained in the paper of Jaikin-Zapirain and Pyber (Random generation of finite and profinite groups and group enumeration, Ann. Math., 183 (2011) 769-814) are obtained. The results of Jaikin-Zapirain and Pyber, as well as other results of Lubotzky, Detomi, and Lucchini, appear as particular cases of our theorems. es_ES
dc.description.sponsorship This work has been supported by the research grants MTM2014-54707-C3-1-P from the Ministerio de Economa y Competitividad (Spanish Government) and FEDER (European Union) and PRO-METEO/2017/057 from Generalitat (Valencian Community, Spain). The fourth author has been supported by the grant number 201606890006 of the China Scholarship Council. es_ES
dc.language Inglés es_ES
dc.publisher University of Isfahan es_ES
dc.relation.ispartof International Journal of Group Theory es_ES
dc.rights Reconocimiento (by) es_ES
dc.subject Finite group es_ES
dc.subject Maximal subgroup es_ES
dc.subject Probabilistic generation es_ES
dc.subject Primitive group es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title The number of maximal subgroups and probabilistic generation of finite groups es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.22108/ijgt.2019.114469.1521 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GVA//PROMETEO%2F2017%2F057/ 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/CSC//201606890006/ 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 Ballester-Bolinches, A.; Esteban Romero, R.; Jiménez-Seral, P.; Meng, H. (2020). The number of maximal subgroups and probabilistic generation of finite groups. International Journal of Group Theory. 9(1):31-42. https://doi.org/10.22108/ijgt.2019.114469.1521 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.22108/ijgt.2019.114469.1521 es_ES
dc.description.upvformatpinicio 31 es_ES
dc.description.upvformatpfin 42 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 9 es_ES
dc.description.issue 1 es_ES
dc.relation.pasarela S\414926 es_ES
dc.contributor.funder Generalitat Valenciana es_ES
dc.contributor.funder China Scholarship Council es_ES
dc.contributor.funder European Regional Development Fund es_ES
dc.contributor.funder Ministerio de Economía y Competitividad es_ES


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