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Prefactorized subgroups in pairwise mutually permutable products

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Prefactorized subgroups in pairwise mutually permutable products

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dc.contributor.author Ballester-Bolinches, A. es_ES
dc.contributor.author Beidleman, JC es_ES
dc.contributor.author Heineken, H es_ES
dc.contributor.author Pedraza Aguilera, María Carmen es_ES
dc.date.accessioned 2015-01-20T13:29:16Z
dc.date.available 2015-01-20T13:29:16Z
dc.date.issued 2013-12
dc.identifier.issn 0003-4622
dc.identifier.uri http://hdl.handle.net/10251/46242
dc.description The final publication is available at Springer via http://dx.doi.org/10.1007/s10231-012-0257-y es_ES
dc.description.abstract We continue here our study of pairwise mutually and pairwise totally permutable products. We are looking for subgroups of the product in which the given factorization induces a factorization of the subgroup. In the case of soluble groups, it is shown that a prefactorized Carter subgroup and a prefactorized system normalizer exist.Aless stringent property have F-residual, F-projector and F-normalizer for any saturated formation F including the supersoluble groups. es_ES
dc.description.sponsorship The first and fourth authors have been supported by the grant MTM2010-19938-C03-01 from MICINN (Spain). en_EN
dc.language Inglés es_ES
dc.publisher Springer Verlag es_ES
dc.relation.ispartof Annali di Matematica Pura ed Applicata es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Finite groups es_ES
dc.subject Permutability es_ES
dc.subject Factorization es_ES
dc.subject Saturated formations es_ES
dc.subject IUMPA es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Prefactorized subgroups in pairwise mutually permutable products es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s10231-012-0257-y
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.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, J.; Heineken, H.; Pedraza Aguilera, MC. (2013). Prefactorized subgroups in pairwise mutually permutable products. Annali di Matematica Pura ed Applicata. 192(6):1043-1057. https://doi.org/10.1007/s10231-012-0257-y es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://link.springer.com/article/10.1007/s10231-012-0257-y es_ES
dc.description.upvformatpinicio 1043 es_ES
dc.description.upvformatpfin 1057 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 192 es_ES
dc.description.issue 6 es_ES
dc.relation.senia 260645
dc.contributor.funder Ministerio de Ciencia e Innovación es_ES
dc.description.references Amberg B., Franciosi S., de Giovanni F.: Products of Groups. Clarendon Press, Oxford (1992) es_ES
dc.description.references Ballester-Bolinches, A., Pedraza-Aguilera, M.C., Pérez-Ramos, M.D.: Totally and Mutually Permutable Products of Finite Groups, Groups St. Andrews 1997 in Bath I. London Math. Soc. Lecture Note Ser. 260, 65–68. Cambridge University Press, Cambridge (1999) es_ES
dc.description.references Ballester-Bolinches A., Pedraza-Aguilera M.C., Pérez-Ramos M.D.: On finite products of totally permutable groups. Bull. Aust. Math. Soc. 53, 441–445 (1996) es_ES
dc.description.references Ballester-Bolinches A., Pedraza-Aguilera M.C., Pérez-Ramos M.D.: Finite groups which are products of pairwise totally permutable subgroups. Proc. Edinb. Math. Soc. 41, 567–572 (1998) es_ES
dc.description.references Ballester-Bolinches A., Beidleman J.C., Heineken H., Pedraza-Aguilera M.C.: On pairwise mutually permutable products. Forum Math. 21, 1081–1090 (2009) es_ES
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dc.description.references Carocca A.: p-supersolvability of factorized groups. Hokkaido Math. J. 21, 395–403 (1992) es_ES
dc.description.references Carocca, A., Maier, R.: Theorems of Kegel-Wielandt Type Groups St. Andrews 1997 in Bath I. London Math. Soc. Lecture Note Ser. 260, 195–201. Cambridge University Press, Cambridge, (1999) es_ES
dc.description.references Doerk K., Hawkes T.: Finite Soluble Groups. Walter De Gruyter, Berlin (1992) es_ES
dc.description.references Maier R., Schmid P.: The embedding of quasinormal subgroups in finite groups. Math. Z. 131, 269–272 (1973) es_ES


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