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On the number of invariant Sylow subgroups under coprime action
dc.contributor.author | Beltrán, Antonio | |
dc.contributor.author | shao, Changguo | |
dc.date.accessioned | 2017-11-16T10:39:28Z | |
dc.date.available | 2017-11-16T10:39:28Z | |
dc.date.issued | 2017-07 | |
dc.identifier.citation | BELTRÁN, Antonio; SHAO, Changguo. On the number of invariant Sylow subgroups under coprime action. Journal of Algebra, 2017, vol. 490, p. 380-389. | ca_CA |
dc.identifier.uri | http://hdl.handle.net/10234/170115 | |
dc.description.abstract | Let A and G be finite groups such that A acts coprimely on G via automorphisms. We study the number of A-invariant Sylow p-subgroups of G, say V a/p (G), for every prime p, and establish several arithmetical properties and formulae for these numbers. More precisely, we prove that if G is solvable and H is any A-invariant subgroup of G, then V a/p (H) divides V a/p (G) . | ca_CA |
dc.format.extent | 9 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | Elsevier | ca_CA |
dc.rights | © 2017 Elsevier Inc. All rights reserved. | ca_CA |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | * |
dc.subject | finite groups | ca_CA |
dc.subject | sylow subgroups | ca_CA |
dc.subject | coprime action | ca_CA |
dc.subject | group action on groups | ca_CA |
dc.title | On the number of invariant Sylow subgroups under coprime action | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | https://doi.org/10.1016/j.jalgebra.2017.07.005 | |
dc.relation.projectID | Valencian Government (Proyecto PROMETEOII/2015/011) ; Universitat Jaume I (grant P11B2015-77) ; NNSF of China (No 11301218) and the Natural Science Foundation of Shandong Province (No. ZR2014AM020). | ca_CA |
dc.rights.accessRights | info:eu-repo/semantics/restrictedAccess | ca_CA |
dc.relation.publisherVersion | http://www.sciencedirect.com/science/article/pii/S0021869317303988 | ca_CA |
dc.type.version | info:eu-repo/semantics/publishedVersion | ca_CA |
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