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http://hdl.handle.net/10662/10916
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Campo DC | Valor | idioma |
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dc.contributor.author | Bouarich, A. | - |
dc.date.accessioned | 2020-06-19T10:52:30Z | - |
dc.date.available | 2020-06-19T10:52:30Z | - |
dc.date.issued | 2012 | - |
dc.identifier.issn | 0213-8743 | - |
dc.identifier.uri | http://hdl.handle.net/10662/10916 | - |
dc.description.abstract | For discrete groups, we construct two bounded cohomology classes with coefficients in the second space of the reduced real ℓ₁-homology. Precisely, we associate to any discrete group G a bounded cohomology class of degree two noted g₂ ∊ H_b^² (G,(H_₂^(l₁) ) ̅ (G,ℝ)). For G and Π groups and θ : Π → Out(C) any homomorphism we associate a bounded cohomology class of degree three noted [θ] ∊ H_b^³ (Π, ,(H_₂^(l₁) ) ̅ (G,ℝ)). When the outer homomorphism θ : Π →Out(C) induces an extension of G by Π we show that the class g₂ is Π-invariant and that the differential d3 of Hochschild-Serre spectral sequence sends the class g₂ on the class [θ] :d₃(g₂) = [θ]. Moreover, we show that for any integer n ≥ 0 the differential d₃ : E_₃^(n,2)→ E_₃^(n+3,0) of Hochschild-Serre spectral sequence in real bounded cohomology is given as a cup-product by the class [θ]. | es_ES |
dc.format.extent | 56 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-NoDerivatives 4.0 International | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Cohomology of groups | es_ES |
dc.subject | ℓ1-homology of groups | es_ES |
dc.subject | Bounded cohomology of groups | es_ES |
dc.subject | Spectral sequences | es_ES |
dc.subject | Banach spaces | es_ES |
dc.subject | Cohomología de grupos | es_ES |
dc.subject | ℓ1-homología de grupos | es_ES |
dc.subject | Cohomología limitada de grupos | es_ES |
dc.subject | Secuencias espectrales | es_ES |
dc.subject | Espacios de Banach | es_ES |
dc.title | Expression de la différentielle d₃ de la suite spectrale de Hochschild-Serre cohomologie Bornée Réelle | 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 | 1202.03 Álgebra y Espacios de Banach | es_ES |
europeana.dataProvider | Universidad de Extremadura. España | es_ES |
dc.identifier.bibliographicCitation | BOUARICH, A. (2012). Expression de la différentielle d₃ de la suite spectrale de Hochschild-Serre cohomologie Bornée Réelle. Extracta Mathematicae 27 (2), 245-300. E-ISSN 2605-5686 | es_ES |
dc.type.version | publishedVersion | es_ES |
dc.contributor.affiliation | Université Sultan Moulay Slimane. Maroc | es_ES |
dc.identifier.publicationtitle | Extracta Mathematicae | es_ES |
dc.identifier.publicationissue | 2 | es_ES |
dc.identifier.publicationfirstpage | 245 | es_ES |
dc.identifier.publicationlastpage | 300 | es_ES |
dc.identifier.publicationvolume | 27 | es_ES |
dc.identifier.e-issn | 2605-5686 | - |
Colección: | Extracta Mathematicae Vol. 27, nº 2 (2012) |
Archivos
Archivo | Descripción | Tamaño | Formato | |
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2605-5686_27_2_245.pdf | 304,45 kB | Adobe PDF | Descargar |
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