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
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/83637
Title:
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A note on solitary subgroups of finite groups
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Author:
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Esteban Romero, Ramón
Liriano, Orieta
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UPV Unit:
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Universitat Politècnica de València. Escola Tècnica Superior d'Enginyeria Informàtica
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Issued date:
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Abstract:
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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 ...[+]
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.
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Subjects:
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Finite group
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Solitary subgroup
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Quotient solitary subgroup
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Formation
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Fitting class
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Copyrigths:
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Reserva de todos los derechos
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Source:
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Communications in Algebra. (issn:
0092-7872
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DOI:
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10.1080/00927872.2015.1065855
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Publisher:
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Taylor & Francis
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Publisher version:
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http://dx.doi.org/10.1080/00927872.2015.1065855
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Project ID:
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info:eu-repo/grantAgreement/MICINN//MTM2010-19938-C03-01/ES/PROPIEDADES ARITMETICAS Y ESTRUCTURALES DE LOS GRUPOS. APLICACIONES I/
info:eu-repo/grantAgreement/MINECO//MTM2014-54707-C3-1-P/ES/PROPIEDADES ARITMETICAS Y ESTRUCTURALES DE GRUPOS Y SEMIGRUPOS I/
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Description:
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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.
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Thanks:
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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 ...[+]
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.
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Type:
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Artículo
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