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A question on partial CAP-subgroups of finite groups

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A question on partial CAP-subgroups of finite groups

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dc.contributor.author Ballester Bolinches, Adolfo es_ES
dc.contributor.author Esteban Romero, Ramón es_ES
dc.contributor.author Li, Yangming es_ES
dc.date.accessioned 2013-01-25T11:56:35Z
dc.date.available 2013-05-05T22:30:34Z
dc.date.issued 2012-05
dc.identifier.issn 1674-7283
dc.identifier.uri http://hdl.handle.net/10251/19049
dc.description This paper has been published in Science China Mathematics, 55(5):961-966 (2012). Copyright 2012 by Science China Press and Springer-Verlag. The final publication is available at www.springerlink.com. http://link.springer.com/article/10.1007/s11425-011-4356-9 http://dx.doi.org/10.1007/s11425-011-4356-9 es_ES
dc.description.abstract A subgroup H of a finite group G is a partial CAP-subgroup of G if there is a chief series of G such that H either covers or avoids every chief factor of the series. The structural impact of the partial cover and avoidance property of some distinguished subgroups of a group has been studied by many authors. However there are still some open questions which deserve an answer. The purpose of the present paper is to give a complete answer to one of these questions. es_ES
dc.description.sponsorship This work was supported by MEC of Spain, FEDER of European Union (Grant No. MTM-2007-68010-C03-02), MICINN of Spain (Grant No. MTM-2010-19938-C03-01), National Natural Science Foundation of China (Grant No. 11171353/A010201) and Natural Science Fund of Guangdong (Grant No. S2011010004447). Part of this research was carried out during a visit of the third author to the Departament d'Algebra, Universitat de Valencia, Burjassot, Valencia, Spain, and the Institut Universitari de Matematica Pura i Aplicada, Universitat Politecnica de Valencia, Valencia, Spain, between September, 2009 and August, 2010. He is grateful to both institutions for their warm hospitality and, in particular, to the Universitat Politecnica de Valencia for the financial support given via its Programme of Support to Research and Development 2010. en_EN
dc.description.uri http://link.springer.com/article/10.1007/s11425-011-4356-9 es_ES
dc.format.extent 961-966 es_ES
dc.language Inglés es_ES
dc.publisher Springer and Science China Press es_ES
dc.relation.ispartof Science China Mathematics es_ES
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject Finite group es_ES
dc.subject Minimal subgroup es_ES
dc.subject Partial cover and avoidance property es_ES
dc.subject Saturated formation es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title A question on partial CAP-subgroups of finite groups es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s11425-011-4356-9
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Instituto Universitario de Matemática Pura y Aplicada - Institut Universitari de Matemàtica Pura i Aplicada es_ES
dc.description.bibliographicCitation Ballester Bolinches, A.; Esteban Romero, R.; Li, Y. (2012). A question on partial CAP-subgroups of finite groups. Science China Mathematics. 5(55). doi:10.1007/s11425-011-4356-9 es_ES
dc.description.accrualMethod S
dc.relation.publisherversion http://link.springer.com/article/10.1007/s11425-011-4356-9 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 5 es_ES
dc.description.issue 55 es_ES
dc.relation.senia 216814
dcterms.accrualMethod Senia
dc.contributor.funder Natural Science Foundation of Guangdong Province es_ES
dc.contributor.funder National Natural Science Foundation of China es_ES
dc.contributor.funder Universitat de València es_ES
dc.contributor.funder Ministerio de Ciencia e Innovación es_ES
dc.contributor.funder Universitat Politècnica de València es_ES
dc.contributor.funder Ministerio de Educación y Ciencia es_ES
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