| dc.creator | Hagen, Mark Fearghus | |
| dc.creator | Patel, Priyam | |
| dc.date.accessioned | 2018-11-24T23:26:34Z | |
| dc.date.available | 2016-03-07T13:29:57Z | |
| dc.date.available | 2018-11-24T23:26:34Z | |
| dc.date.issued | 2016 | |
| dc.identifier | https://www.repository.cam.ac.uk/handle/1810/254203 | |
| dc.identifier.uri | http://repository.aust.edu.ng/xmlui/handle/123456789/3852 | |
| dc.description.abstract | We give a new, effective proof of the separability of cubically convex-cocompact subgroups of special groups. As a consequence, we show that if G is a virtually compact special hyperbolic group, and Q ≤ G is a K-quasiconvex subgroup, then any g ∈ G − Q of word-length at most n is separated from Q by a subgroup whose index is polynomial in n and exponential in K. This generalizes a result of Bou-Rabee and the authors on residual fi niteness growth and a result of the second author on surface groups. | |
| dc.language | en | |
| dc.publisher | Mathematical Society Publishing | |
| dc.publisher | Pacific Journal of Mathematics | |
| dc.title | Quantifying separability in virtually special groups | |
| dc.type | Article | |
