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Intermediaries in Bredon (co)homology and classifying spaces
Dembegioti, F.
Petrosyan, N.
Talelli, O.

Fecha: 2012
Resumen: For certain contractible G-CW-complexes and F a family of subgroups of G, we construct a spectral sequence converging to the F-Bredon cohomology of G with E1-terms given by the F-Bredon cohomology of the stabilizer subgroups. As applications, we obtain several corollaries concerning the cohomological and geometric dimensions of the classifying space EFG. We also introduce, for any subgroup closed class of groups F, a hierarchically de ned class of groups and show that if a group G is in this class, then G has finite F ∩ G-Bredon (co)homological dimension if and only if G has jump F ∩ G-Bredon (co)homology.
Derechos: Tots els drets reservats
Lengua: Anglès
Documento: article ; recerca ; publishedVersion
Materia: Classifying space ; Bredon (co)homology ; Spectral sequence
Publicado en: Publicacions matemàtiques, Vol. 56, Núm. 2 (2012) , p. 393-412, ISSN 0214-1493

DOI: 10.5565/PUBLMAT_56212_06

20 p, 421.5 KB
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