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Campo DC | Valor | idioma |
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dc.contributor.author | Martínez Carracedo, Jorge | |
dc.date.accessioned | 2019-04-01T07:30:54Z | |
dc.date.available | 2019-04-01T07:30:54Z | |
dc.date.issued | 2015 | |
dc.identifier.uri | http://hdl.handle.net/10662/9034 | |
dc.description.abstract | C. Martínez and E. Zelmanov proved in [12] that for every natural number d and every finite simple group G, there exists a function N = N (d) such that either G d= 1 or G = {a_1^d …a_N^d : a_i ∈ G. In a more general context the problem of finding words ω such that the word map (ɡ1, …, ɡd) → ω (ɡ1, …,ɡd) is surjective for any finite non abelian simple group is a major challenge in Group Theory. In [8] authors give the first example of a word map which is surjective on all finite non-abelian simple groups, the commutator [x; y] (Ore Conjecture). In [11] the conjecture that this is also the case for the word x² y² is formulated. This conjecture was solved in [9] and, independently, in [6], using deep results of algebraic simple groups and representation theory. An elementary proof of this result for alternating simple groups is presented here. | es_ES |
dc.description.sponsorship | Beca BES-2011-044790 asociada al proyecto MTM2010-18370-C04-01). | es_ES |
dc.format.extent | 12 p. | es_ES |
dc.format.mimetype | application/pdf | en_US |
dc.language.iso | eng | es_ES |
dc.publisher | Universidad de Extremadura | es_ES |
dc.rights | Attribution-NonCommercial 4.0 International | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc/4.0/ | * |
dc.subject | Alternating groups | es_ES |
dc.subject | Simple groups | es_ES |
dc.subject | Power subgroups | es_ES |
dc.subject | Word maps | es_ES |
dc.subject | Grupos alternos | es_ES |
dc.subject | Grupos simples | es_ES |
dc.subject | Subgrupos de poder | es_ES |
dc.subject | Mapas de palabras | es_ES |
dc.title | Powers in alternating simple groups | es_ES |
dc.type | article | es_ES |
dc.description.version | peerReviewed | es_ES |
europeana.type | TEXT | en_US |
dc.rights.accessRights | openAccess | es_ES |
dc.subject.unesco | 1210.08 Grupos de Lie | es_ES |
europeana.dataProvider | Universidad de Extremadura. España | es_ES |
dc.identifier.bibliographicCitation | Martínez Carracedo, J. (2015). Powers in alternating simple groups. Extracta Mathematicae 30 (2), 251-262. E-ISSN 2605-5686 | es_ES |
dc.type.version | publishedVersion | es_ES |
dc.contributor.affiliation | Universidad de Oviedo | es_ES |
dc.identifier.publicationtitle | Extracta Mathematicae | es_ES |
dc.identifier.publicationissue | 2 | es_ES |
dc.identifier.publicationfirstpage | 251 | es_ES |
dc.identifier.publicationlastpage | 262 | es_ES |
dc.identifier.publicationvolume | 30 | es_ES |
dc.identifier.e-issn | 2605-5686 | |
Colección: | Extracta Mathematicae Vol. 30, nº 2 (2015) |
Archivos
Archivo | Descripción | Tamaño | Formato | |
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2605-5686_30_2_251.pdf | 112,04 kB | Adobe PDF | Descargar |
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