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p-divisibility of conjugacy class sizes and normal p-complements
dc.contributor.author | Beltrán, Antonio | |
dc.contributor.author | Felipe, Maria José | |
dc.contributor.author | shao, Changguo | |
dc.date.accessioned | 2016-07-29T11:15:28Z | |
dc.date.available | 2016-07-29T11:15:28Z | |
dc.date.issued | 2015-01 | |
dc.identifier.citation | BELTRÁN, Antonio; FELIPE, María José; SHAO, Changguo. p-divisibility of conjugacy class sizes and normal p-complements. Journal of Group Theory, 2015, vol. 18, no 1, p. 133-141. | ca_CA |
dc.identifier.uri | http://hdl.handle.net/10234/162083 | |
dc.description.abstract | Let N be a normal subgroup of a group G and let p be a prime.We prove that if the p-part of jxGj is a constant for every prime-power order element x 2 N n Z.N /, then N is solvable and has normal p-complement. | ca_CA |
dc.description.sponsorShip | This research is supported by the Valencian Government, Proyecto PROMETEO/2011/30, and by the Spanish Government, Proyecto MTM2010-19938-C03-02. The third author is supported by the research Project NNSF of China (Grant No. 11201401 and No. 11301218) and University of Jinan Research Funds for Doctors (XBS1335 and XBS1336). | ca_CA |
dc.format.extent | 9 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | De Gruyter | ca_CA |
dc.relation.isPartOf | Journal of Group Theory, 2015, vol. 18, no 1 | ca_CA |
dc.rights | Copyright © 2011–2016 by Walter de Gruyter GmbH | ca_CA |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | * |
dc.subject | normal p-complement | ca_CA |
dc.title | p-divisibility of conjugacy class sizes and normal p-complements | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | http://dx.doi.org/ 10.1515/jgth-2014-0035 | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
dc.relation.publisherVersion | http://www.degruyter.com/view/j/jgth.2015.18.issue-1/jgth-2014-0035/jgth-2014-0035.xml | ca_CA |
dc.type.version | info:eu-repo/semantics/acceptedVersion |
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