dc.contributor.author | Degrijse, Dieter | |
dc.contributor.author | Souto, Juan | |
dc.date.accessioned | 2018-09-20T16:05:36Z | |
dc.date.available | 2018-09-20T16:05:36Z | |
dc.date.issued | 2017-12-07 | |
dc.identifier.citation | Degrijse, Dieter; Souto, Juan (2017). Dimension invariants of outer automorphism groups. Groups, Geometry, and Dynamics 11 (4), 1469-1495 | |
dc.identifier.issn | 1661-7207 | |
dc.identifier.uri | http://hdl.handle.net/10379/11125 | |
dc.description.abstract | The geometric dimension for proper actions (gd) under bar (G) of a group G is the minimal dimension of a classifying space for proper actions (gd) under barG. We construct for every integer r >= 1, an example of a virtually torsion- free Gromov-hyperbolicgroup G such that for every group. which contains G as a finite index normal sub group, the virtual cohomological dimension vcd(Gamma) of Gamma equals (gd) under bar(Gamma) but such that the outer automorphism group Out(G) is virtually torsion- free, admits a cocompact model for (gd) under bar Out(G) but nonetheless has vcd(Out)(G)) <= gd(Out)(G)) - r. | |
dc.publisher | European Mathematical Publishing House | |
dc.relation.ispartof | Groups, Geometry, and Dynamics | |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Ireland | |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/3.0/ie/ | |
dc.subject | outer automorphism groups | |
dc.subject | geometric dimension for proper actions | |
dc.subject | virtual cohomological dimension | |
dc.subject | virtually cyclic subgroups | |
dc.subject | geometric dimension | |
dc.subject | classifying-spaces | |
dc.subject | coxeter groups | |
dc.subject | family | |
dc.title | Dimension invariants of outer automorphism groups | |
dc.type | Article | |
dc.identifier.doi | 10.4171/ggd/435 | |
dc.local.publishedsource | http://arxiv.org/pdf/1602.04354 | |
nui.item.downloads | 0 | |