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Prime power indices in factorised groups

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Prime power indices in factorised groups

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dc.contributor.author Felipe Román, María Josefa es_ES
dc.contributor.author Martínez-Pastor, Ana es_ES
dc.contributor.author Sotomayor, Víctor es_ES
dc.date.accessioned 2018-09-17T07:32:30Z
dc.date.available 2018-09-17T07:32:30Z
dc.date.issued 2017 es_ES
dc.identifier.issn 1660-5446 es_ES
dc.identifier.uri http://hdl.handle.net/10251/107398
dc.description.abstract [EN] Let the group G = AB be the product of the subgroups A and B. We determine some structural properties of G when the p-elements in A. B have prime power indices in G, for some prime p. More generally, we also consider the case that all prime power order elements in A. B have prime power indices in G. In particular, when G = A = B, we obtain as a consequence some known results. es_ES
dc.description.sponsorship The first author is supported by Proyecto Prometeo II/2015/011, Generalitat Valenciana (Spain), and the second author is supported by Proyecto MTM2014-54707-C3-1-P, Ministerio de Economia, Industria y Competitividad (Spain). The results in this paper are part of the third author's Ph.D. thesis, and he acknowledges the predoctoral grant ACIF/2016/170, Generalitat Valenciana (Spain).
dc.language Inglés es_ES
dc.publisher Springer-Verlag es_ES
dc.relation.ispartof Mediterranean Journal of Mathematics es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Finite groups es_ES
dc.subject Products of groups es_ES
dc.subject Conjugacy classes es_ES
dc.subject Sylow subgroups es_ES
dc.subject IUMPA es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Prime power indices in factorised groups es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s00009-017-1023-6 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2014-54707-C3-1-P/ES/PROPIEDADES ARITMETICAS Y ESTRUCTURALES DE GRUPOS Y SEMIGRUPOS I/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GVA//PROMETEOII%2F2015%2F011/ES/Caracteres y clases de conjugación de grupos finitos II/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GV//ACIF/2016/170/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GVA//ACIF%2F2016%2F170/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GV//PROMETEOII/2015/011/ es_ES
dc.rights.accessRights Abierto es_ES
dc.date.embargoEndDate 2018-12-01 es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Felipe Román, MJ.; Martínez-Pastor, A.; Sotomayor, V. (2017). Prime power indices in factorised groups. Mediterranean Journal of Mathematics. 14(6):1-15. https://doi.org/10.1007/s00009-017-1023-6 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://doi.org/ 10.1007/s00009-017-1023-6 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 15 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 14 es_ES
dc.description.issue 6 es_ES
dc.relation.pasarela S\344630 es_ES
dc.contributor.funder Generalitat Valenciana es_ES
dc.contributor.funder Ministerio de Economía, Industria y Competitividad es_ES
dc.description.references Amberg, B., Franciosi, S., de Giovanni, F.: Products of Groups. Oxford University Press Inc., New York (1992) es_ES
dc.description.references Baer, R.: Group elements of prime power index. Trans. Am. Math. Soc. 75, 20–47 (1953) es_ES
dc.description.references Ballester-Bolinches, A., Cossey, J., Li, Y.: Mutually permutable products and conjugacy classes. Monatsh. Math. 170, 305–310 (2013) es_ES
dc.description.references Ballester-Bolinches, A., Esteban-Romero, R., Asaad, M.: Products of finite groups, vol. 53 of de Gruyter Expositions in Mathematics, Berlin (2010) es_ES
dc.description.references Berkovich, Y., Kazarin, L.S.: Indices of elements and normal structure of finite groups. J. Algebra 283, 564–583 (2005) es_ES
dc.description.references Camina, A.R., Camina, R.D.: Implications of conjugacy class size. J. Group Theory 1(3), 257–269 (1998) es_ES
dc.description.references Camina, A.R., Shumyatsky, P., Sica, C.: On elements of prime-power index in finite groups. J. Algebra 323, 522–525 (2010) es_ES
dc.description.references Chillag, D., Herzog, M.: On the length of the conjugacy classes of finite groups. J. Algebra 131, 110–125 (1990) es_ES
dc.description.references Doerk, K., Hawkes, T.: Finite Soluble Groups, vol. 4 of de Gruyter Expositions in Mathematics, Berlin (1992) es_ES
dc.description.references Felipe, M.J., Martínez-Pastor, A., Ortiz-Sotomayor, V.M.: On finite groups with square-free conjugacy class sizes. Int. J. Group Theory (to appear) es_ES
dc.description.references Kurzweil, H., Stellmacher, B.: The theory of finite groups: an introduction. Springer, New York (2004) es_ES
dc.description.references Liu, X., Wang, Y., Wei, H.: Notes on the length of conjugacy classes of finite groups. J. Pure Appl. Algebra 196, 111–117 (2005) es_ES


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