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On the Sylow graph of a finite group

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On the Sylow graph of a finite group

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dc.contributor.author Kazarin, S. L. es_ES
dc.contributor.author Martínez Pastor, Ana es_ES
dc.contributor.author Pérez-Ramos, M.D. es_ES
dc.date.accessioned 2014-03-05T09:05:55Z
dc.date.issued 2011-11
dc.identifier.issn 0021-2172
dc.identifier.uri http://hdl.handle.net/10251/36183
dc.description The final publication is available at Springer via http://dx.doi.org/10.1007/s11856-011-0138-x es_ES
dc.description.abstract Let G be a finite group and Gp be a Sylow p-subgroup of G for a prime p in pi(G), the set of all prime divisors of the order of G. The automiser Ap(G) is defined to be the group NG(Gp)/GpCG(Gp). We define the Sylow graph gamma A(G) of the group G, with set of vertices pi(G), as follows: Two vertices p, q ¿ ¿(G) form an edge of ¿A(G) if either q ¿ ¿(Ap(G)) or p ¿ ¿(Aq(G)). The following result is obtained: Theorem: Let G be a finite almost simple group. Then the graph ¿A(G) is connected and has diameter at most 5. We also show how this result can be applied to derive information on the structure of a group from the normalizers of its Sylow subgroups. es_ES
dc.description.sponsorship The second and third authors have been supported by Proyecto MTM2007-68010-C03-03 and Proyecto MTM2010-19938-C03-02, Ministerio de Educacion y Ciencia and FEDER, Spain. en_EN
dc.format.extent 21 es_ES
dc.language Inglés es_ES
dc.publisher Springer Verlag (Germany) es_ES
dc.relation.ispartof Israel Journal of Mathematics es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title On the Sylow graph of a finite group es_ES
dc.type Artículo es_ES
dc.embargo.lift 10000-01-01
dc.embargo.terms forever es_ES
dc.identifier.doi 10.1007/s11856-011-0138-x
dc.relation.projectID info:eu-repo/grantAgreement/MEC//MTM2007-68010-C03-03/ES/GRUPOS: ESTRUCTURA Y APLICACIONES III/ / es_ES
dc.relation.projectID info:eu-repo/grantAgreement/RFBR//10-01-00324/ es_ES
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 Kazarin, SL.; Martínez Pastor, A.; Pérez-Ramos, M. (2011). On the Sylow graph of a finite group. Israel Journal of Mathematics. 186(1):251-271. https://doi.org/10.1007/s11856-011-0138-x es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://link.springer.com/article/10.1007%2Fs11856-011-0138-x es_ES
dc.description.upvformatpinicio 251 es_ES
dc.description.upvformatpfin 271 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 186 es_ES
dc.description.issue 1 es_ES
dc.relation.senia 38964
dc.contributor.funder Russian Foundation for Basic Research es_ES
dc.contributor.funder European Regional Development Fund es_ES
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