Dimension invariants of outer automorphism groups
Dieter Degrijse
National University of Ireland, Galway, IrelandJuan Souto
Université de Rennes 1, France
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Abstract
The geometric dimension for proper actions of a group is the minimal dimension of a classifying space for proper actions . We construct for every integer , an example of a virtually torsion-free Gromov-hyperbolic group such that for every group which contains as a finite index normal subgroup, the virtual cohomological dimension vcd of equals but such that the outer automorphism group Out is virtually torsion-free, admits a cocompact model for Out but nonetheless has vcd(Out(Out.
Cite this article
Dieter Degrijse, Juan Souto, Dimension invariants of outer automorphism groups. Groups Geom. Dyn. 11 (2017), no. 4, pp. 1469–1495
DOI 10.4171/GGD/435