2011/11/16 by Conchita Martı́nez-Pérez, Conchita Martínez-Pérez, Martínez-Pérez, Conchita
Mathematics · #20J05 #57Q05 #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #FOS: Mathematics #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology #math.GR #msc:20J05 #msc:57Q05
paper · pdf · doi:10.48550/arxiv.1111.3772
19 pages
openalex publication_date 2011/11/16 · arxiv created 2012/02/24 · arxiv updated 2012/02/27 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28
For a discrete group Γ satisfying some finiteness conditions we give a Bredon projective resolution of the trivial module in terms of projective covers of the chain complex associated to certain posets of subgroups. We use this to give new results on dimensions of Eγ and to reprove that for virtually solvable groups, \underline\cdΓ=\vcdΓ. We also deduce a formula to compute the Euler class of Eγ for Γ virtually solvable of type \FP_∞ and use it to compute orbifold Euler characteristics.