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math.GR2012★ 1 cited
Bredon cohomological dimensions for groups acting on CAT(0)-spaces
Dieter Degrijse, Nansen Petrosyan
Let G be a group acting isometrically with discrete orbits on a separable complete CAT(0)-space of bounded topological dimension. Under certain conditions, we give upper bounds for…
math.GR2012★ 2 cited
Geometric dimension of groups for the family of virtually cyclic subgroups
Dieter Degrijse, Nansen Petrosyan
By studying commensurators of virtually cyclic groups, we prove that every elementary amenable group of finite Hirsch length h and cardinality aleph-n admits a finite dimensional c…