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On conditional permutability and factorized groups

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On conditional permutability and factorized groups

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dc.contributor.author Arroyo Jordá, Milagros es_ES
dc.contributor.author Arroyo Jordá, Paz es_ES
dc.contributor.author Martínez Pastor, Ana es_ES
dc.contributor.author Perez Ramos, Maria Dolores es_ES
dc.date.accessioned 2016-03-02T13:46:35Z
dc.date.available 2016-03-02T13:46:35Z
dc.date.issued 2014-08
dc.identifier.issn 0373-3114
dc.identifier.uri http://hdl.handle.net/10251/61370
dc.description.abstract Two subgroups and of a group are said to be totally completely conditionally permutable (tcc-permutable) if permutes with for some , for all and all . In this paper, we study finite products of tcc-permutable subgroups, focussing mainly on structural properties of such products. As an application, new achievements in the context of formation theory are obtained. es_ES
dc.description.sponsorship The third and fourth authors are supported by Proyecto MTM2010-19938-C03-02, Ministerio de Economia y Competitividad, Spain. The authors wish to thank Anatoly Kondratiev, and also Lev Kazarin, for many helpful ideas and comments to prove the main results of the paper. en_EN
dc.language Inglés es_ES
dc.publisher Springer Verlag (Germany) 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 Products of subgroups es_ES
dc.subject Conditional permutability es_ES
dc.subject Formations es_ES
dc.subject IUMPA es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title On conditional permutability and factorized groups es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s10231-012-0319-1
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//MTM2010-19938-C03-02/ES/PROPIEDADES ARITMETICAS Y ESTRUCTURALES DE LOS GRUPOS. APLICACIONES. III/ 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.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 Arroyo Jordá, M.; Arroyo Jordá, P.; Martínez Pastor, A.; Perez Ramos, MD. (2014). On conditional permutability and factorized groups. Annali di Matematica Pura ed Applicata. 193(4):1123-1138. https://doi.org/10.1007/s10231-012-0319-1 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1007/s10231-012-0319-1 es_ES
dc.description.upvformatpinicio 1123 es_ES
dc.description.upvformatpfin 1138 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 193 es_ES
dc.description.issue 4 es_ES
dc.relation.senia 246331 es_ES
dc.identifier.eissn 1618-1891
dc.contributor.funder Ministerio de Ciencia e Innovación es_ES
dc.description.references Arroyo-Jordá, M., Arroyo-Jordá, P., Martínez-Pastor, A., Pérez-Ramos, M.D.: On finite products of groups and supersolubility. J. Algebra 323, 2922–2934 (2010) es_ES
dc.description.references Arroyo-Jordá, M., Arroyo-Jordá, P., Martínez-Pastor, A., Pérez-Ramos, M.D.: A survey on some permutability properties on subgroups of finite groups. In: Proceedings of the Meeting on Group Theory and its Applications, Zaragoza, 10–11 June 2011, pp. 1–11. Biblioteca de la Revista Matemática Iberoamericana, Madrid (2012) es_ES
dc.description.references Arroyo-Jordá, M., Arroyo-Jordá, P., Pérez-Ramos, M.D.: On conditional permutability and saturated formations. Proc. Edinb. Math. Soc. 54, 309–319 (2011) es_ES
dc.description.references Asaad, M., Shaalan, A.: On the supersolvability of finite groups. Arch. Math. 53, 318–326 (1989) es_ES
dc.description.references Ballester-Bolinches, A., Esteban-Romero, R., Asaad, M.: Products of Finite Groups. De Gruyter, Berlin (2010) es_ES
dc.description.references Ballester-Bolinches, A., Ezquerro, L.M.: Classes of Finite Groups. Springer, Dordrecht (2006) 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., Pedraza-Aguilera, M.C., Pérez-Ramos, M.D. : Totally and mutually permutable products of finite groups. In: Groups St. Andrews 1997 in Bath I. London Math. Soc. Lecture Note Series 260, pp. 65–68. Cambridge University Press, Cambridge (1999) es_ES
dc.description.references Ballester-Bolinches, A., Pérez-Ramos, M.D.: A question of R. Maier concerning formations. J. Algebra 82, 738–747 (1996) es_ES
dc.description.references Beidleman, J., Heineken, H.: Mutually permutable subgroups and group classes. Arch. Math. 85, 18–30 (2005) es_ES
dc.description.references Beidleman, J., Heineken, H.: Totally permutable torsion subgroups. J. Group Theory 2, 377–392 (1999) es_ES
dc.description.references Burgoyne, N., Griess, R.: Maximal subgroups and automorphisms of Chevalley groups. Pac. J. Math. 71, 365–403 (1977) es_ES
dc.description.references Carter, R.: Simple Groups of Lie Type. Wiley, London (1972) es_ES
dc.description.references Carocca, A.: A note on the product of $${\cal {F}}$$ -subgroups in a finite group. Proc. Edinb. Math. Soc. 39, 37–42 (1996) es_ES
dc.description.references Carocca, A., Maier, R.: Theorems of Kegel–Wielandt type. In: Groups St. Andrews 1997 in Bath I. London Mathematical Society Lecture Note Series 260, pp. 195–201. Cambridge University Press, Cambridge (1999) es_ES
dc.description.references Casolo, C.: A criterion for subnormality and Wielandt complexes in finite groups. J. Algebra 169, 605–624 (1994) es_ES
dc.description.references Conway, J.H., Curtis, R.T., Norton, S.P., Parker, R.A., Wilson, R.A.: Atlas of Finite Groups. Clarendon Press, Oxford (1985). http://brauer.maths.qmul.ac.uk/Atlas/v3/ es_ES
dc.description.references Doerk, K., Hawkes, T.: Finite Soluble Groups. De Gruyter, Berlin (1992) es_ES
dc.description.references Gorenstein, D., Lyons, R.: The local structure of finite groups of characteristic 2 type. Memoirs of the American Mathematical Society 276, American Mathematical Society, Providence (1983) es_ES
dc.description.references Guo, W., Shum, K.P., Skiba, A.N.: Criterions of supersolubility for products of supersoluble groups. Publ. Math. Debrecen 68(3–4), 433–449 (2006) es_ES
dc.description.references Hauck, P., Martínez-Pastor, A., Pérez-Ramos, M.D.: Fitting classes and products of totally permutable groups. J. Algebra 252, 114–126 (2002) es_ES
dc.description.references Hauck, P., Martínez-Pastor, A., Pérez-Ramos, M.D.: Products of pairwise totally permutable groups. Proc. Edinb. Math. Soc. 46, 147–157 (2003) es_ES
dc.description.references Hauck, P., Martínez-Pastor, A., Pérez-Ramos, M.D.: Injectors and radicals in products of totally permutable groups. Commun. Algebra 31(12), 6135–6147 (2003) es_ES
dc.description.references Huppert, B.: Endliche Gruppen I. Springer, Berlin (1967) es_ES
dc.description.references Kleidman, P.B.: The maximal subgroups of the Steinberg triality groups $$^{3}D_4(q)$$ and their automorphism groups. J. Algebra 115, 182–199 (1988) es_ES
dc.description.references Kleidman, P.B.: The maximal subgroups of the Chevalley groups $$G_2(q)$$ with q odd, the Ree groups $$^{2}G_2(q)$$ , and their automorphism groups. J. Algebra 117, 30–71 (1988) es_ES
dc.description.references Kleidman, P.B., Liebeck, M.W.: The Subgroup Structure of the Finite Classical Groups. Cambridge University Press, Cambridge (1990) es_ES
dc.description.references Lennox, J.C., Stonehewer, S.E.: Subnormal Subgroups of Groups. Clarendon Press, Oxford (1987) es_ES
dc.description.references Liebeck, M.W., Saxl, J., Seitz, G.M.: Subgroups of maximal rank in finite exceptional groups of Lie type. Proc. Lond. Math. Soc. 3(65), 297–325 (1992) es_ES
dc.description.references Liu, X., Guo, W., Shum, K.P.: Products of finite supersoluble groups. Algebra Colloq. 16(2), 333–340 (2009) es_ES
dc.description.references Liu, X., Li, B., Yi, X.: Some criteria for supersolubility in products of finite groups. Front. Math. China 3(1), 79–86 (2008) es_ES
dc.description.references Maier, R.: A completeness property of certain formations. Bull. Lond. Math. Soc. 24, 540–544 (1992) es_ES
dc.description.references Wilson, R.A.: The Finite Simple Groups. Springer, London (2009) es_ES


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