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On a class of supersoluble groups

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On a class of supersoluble groups

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dc.contributor.author Ballester-Bolinches, A es_ES
dc.contributor.author Beidleman, J. C. es_ES
dc.contributor.author Esteban Romero, Ramón es_ES
dc.contributor.author Ragland, M. F. es_ES
dc.date.accessioned 2015-05-19T11:41:06Z
dc.date.available 2015-05-19T11:41:06Z
dc.date.issued 2014-10
dc.identifier.issn 0004-9727
dc.identifier.uri http://hdl.handle.net/10251/50495
dc.description.abstract A subgroup H of a finite group G is said to be S-semipermutable in G if H permutes with every Sylow q-subgroup of G for all primes q not dividing |H|. A finite group G is an MS-group if the maximal subgroups of all the Sylow subgroups of G are S-semipermutable in G. The aim of the present paper is to characterise the finite MS-groups. es_ES
dc.description.sponsorship The work of the first and the third authors has been supported by grant MTM2010-19938-C03-03 from the Ministerio de Economia y Competitividad, Spain. The first author has also been supported by grant 11271085 from the National Natural Science Foundation of China. en_EN
dc.language Inglés es_ES
dc.publisher Cambridge University Press (CUP): STM Journals - No Cambridge Open es_ES
dc.relation.ispartof Bulletin of the Australian Mathematical Society es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Finite group es_ES
dc.subject Soluble PST-group es_ES
dc.subject T0-group es_ES
dc.subject MS-group es_ES
dc.subject BT-group es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title On a class of supersoluble groups es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1017/S0004972714000306
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//MTM2010-19938-C03-03/ES/PROPIEDADES ARITMETICAS Y ESTRUCTURALES DE LOS GRUPOS. APLICACIONES II/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/NSFC//11271085/ 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.; Beidleman, JC.; Esteban Romero, R.; Ragland, MF. (2014). On a class of supersoluble groups. Bulletin of the Australian Mathematical Society. 90(2):220-226. https://doi.org/10.1017/S0004972714000306 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1017/S0004972714000306 es_ES
dc.description.upvformatpinicio 220 es_ES
dc.description.upvformatpfin 226 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 90 es_ES
dc.description.issue 2 es_ES
dc.relation.senia 271574
dc.contributor.funder Ministerio de Ciencia e Innovación es_ES
dc.contributor.funder National Natural Science Foundation of China es_ES
dc.description.references Ragland, M. F. (2007). Generalizations of Groups in which Normality Is Transitive. Communications in Algebra, 35(10), 3242-3252. doi:10.1080/00914030701410302 es_ES
dc.description.references Kegel, O. H. (1962). Sylow-Gruppen und Subnormalteiler endlicher Gruppen. Mathematische Zeitschrift, 78(1), 205-221. doi:10.1007/bf01195169 es_ES
dc.description.references Ballester-Bolinches, A., Esteban-Romero, R., & Asaad, M. (2010). Products of Finite Groups. de Gruyter Expositions in Mathematics. doi:10.1515/9783110220612 es_ES
dc.description.references Al-Sharo, K. A., Beidleman, J. C., Heineken, H., & Ragland, M. F. (2010). Some characterizations of finite groups in which semipermutability is a transitive relation. Forum Mathematicum, 22(5). doi:10.1515/forum.2010.045 es_ES
dc.description.references Ballester-Bolinches, A., Esteban-Romero, R., & Pedraza-Aguilera, M. C. (2005). On a Class of p-Soluble Groups. Algebra Colloquium, 12(02), 263-267. doi:10.1142/s1005386705000258 es_ES
dc.description.references Ren, Y. C. (1993). Notes on $\pi$-quasi-normal subgroups in finite groups. Proceedings of the American Mathematical Society, 117(3), 631-631. doi:10.1090/s0002-9939-1993-1113651-2 es_ES
dc.description.references Van der Waall, R. W., & Fransman, A. (1996). ON PRODUCTS OF GROUPS FOR WHICH NORMALITY IS A TRANSITIVE RELATION ON THEIR FRATTINI FACTOR GROUPS. Quaestiones Mathematicae, 19(1-2), 59-82. doi:10.1080/16073606.1996.9631826 es_ES
dc.description.references [4] J. C. Beidleman and M. F. Ragland , ‘Groups with maximal subgroups of Sylow subgroups satisfying certain permutability conditions’, Southeast Asian Bull. Math., to appear. es_ES


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