Euler classes and Bredon cohomology for groups with restricted families of finite subgroups

2012/04/17 by Conchita Martínez-Pérez, Martínez-Pérez, Conchita
Mathematics · #05E25 #18G35 #20J05 #FOS: Mathematics #Group Theory (math.GR) #math.GR #msc:05E25 #msc:18G35 #msc:20J05

paper · pdf · doi:10.48550/arxiv.1204.3739

19 pages. Incorporates suggestions made by the referee, to appear in Math. Z

arxiv created 2013/03/12 · arxiv updated 2013/03/13

Abstract

We explore some of the special features with respect to Bredon cohomology of groups having all its finite subgroups either nilpotent or p-groups or cyclic p-groups. We get some results on dimensions and also a formula for the equivariant Euler class for certain groups. We consider the generalization for Bredon cohomology of the properties of being duality or Poincaré duality and study their behavior under p-power index extensions with coefficients in a field of characteristic p.

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