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A note on solitary subgroups of finite groups

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A note on solitary subgroups of finite groups

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dc.contributor.author Esteban Romero, Ramón es_ES
dc.contributor.author Liriano, Orieta es_ES
dc.date.accessioned 2017-06-26T11:35:40Z
dc.date.available 2017-06-26T11:35:40Z
dc.date.issued 2016-06
dc.identifier.issn 0092-7872
dc.identifier.uri http://hdl.handle.net/10251/83637
dc.description This is an Accepted Manuscript of an article published by Taylor & Francis in Communications in Algebra on 01 Jun 2016, available online: http://www.tandfonline.com/10.1080/00927872.2015.1065855. es_ES
dc.description.abstract We say that a subgroup H of a finite group G is solitary (respectively, normal solitary) when it is a subgroup (respectively, normal subgroup) of G such that no other subgroup (respectively, normal subgroup) of G is isomorphic to H. A normal subgroup N of a group G is said to be quotient solitary when no other normal subgroup K of G gives a quotient isomorphic to G/N . We show some new results about lattice properties of these subgroups and their relation with classes of groups and present examples showing a negative answer to some questions about these subgroups. es_ES
dc.description.sponsorship The first author has been supported by the research grants MTM2010-19038-C03-01 from Ministerio de Ciencia e Innovacion, Spain, MTM2014-54707-C3-1-P from Ministerio de Economia y Competitividad, Spain, and FEDER, European Union. The research of the second author has been done during some visits to the Departament de Matematica Aplicada and the Institut Universitari de Matematica Pura i Aplicada of the Universitat Politecnica de Valencia and the Departament d'Algebra of the Universitat de Valencia. She wants to express her gratitude to these institutions for the use of their facilities and, especially to the first university for the financial support of some of the visits. en_EN
dc.language Inglés es_ES
dc.publisher Taylor & Francis es_ES
dc.relation.ispartof Communications in Algebra es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Finite group es_ES
dc.subject Solitary subgroup es_ES
dc.subject Quotient solitary subgroup es_ES
dc.subject Formation es_ES
dc.subject Fitting class es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title A note on solitary subgroups of finite groups es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1080/00927872.2015.1065855
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//MTM2010-19938-C03-01/ES/PROPIEDADES ARITMETICAS Y ESTRUCTURALES DE LOS GRUPOS. APLICACIONES I/ 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.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Escola Tècnica Superior d'Enginyeria Informàtica es_ES
dc.description.bibliographicCitation Esteban Romero, R.; Liriano, O. (2016). A note on solitary subgroups of finite groups. Communications in Algebra. 44(7):2945-2952. https://doi.org/10.1080/00927872.2015.1065855 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1080/00927872.2015.1065855 es_ES
dc.description.upvformatpinicio 2945 es_ES
dc.description.upvformatpfin 2952 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 44 es_ES
dc.description.issue 7 es_ES
dc.relation.senia 292555 es_ES
dc.contributor.funder Ministerio de Economía y Competitividad es_ES
dc.contributor.funder Ministerio de Ciencia e Innovación es_ES
dc.contributor.funder Universitat de València es_ES
dc.contributor.funder Universitat Politècnica de València es_ES


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