Cubulating random groups at density less than 1/6
By Yann Ollivier, Daniel T. Wise. 2011
97 citations recorded by the source corpus.
We prove that random groups at density less than 1/6 act freely and cocompactly on CAT(0) cube complexes, and that random groups at density less than 1/5 have codimension-1 subgroups. In particular, Property (T ) fails to hold at density less than 1/5.
Subfields: Computational Theory and Mathematics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/8596436fbd9d12659358b6d6bb8a733a5a99b315
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In Computational Theory and Mathematics
In Geometry and Topology
- G. Hruska
- Daniel T. Wise
- Mark F. Hagen
- Frédéric Haglund
- Denis V. Osin
- Henry Wilton
- Ashot Minasyan
- Stefan Friedl
In Mathematical Physics
- G. Hruska
- Daniel T. Wise
- Mark F. Hagen
- Frédéric Haglund
- Anthony Genevois
- Denis V. Osin
- Stefan Friedl
- Alessandro Sisto
Citations in the corpus
- Finiteness properties of cubulated groups (2012, methodology): “For instance, linear separation is proven for Gromov’s random groups at density < 1/6 by Ollivier–Wise in [OW11], but at density < 1/5 although a wallspace was constructed and the walls are quasiconvex it remains unknown whether these random groups can act properly—i.”