Abstract
We study a random group G in the Gromov density model and its Cayley complex X. For density < 5/24, we define walls in X that give rise to a nontrivial action of G on a CAT(0) cube complex. This extends a result of Ollivier and Wise, whose walls could be used only for density < 1/5. The strategy employed might be potentially extended in future to all densities < 1/4.
| Original language | English |
|---|---|
| Pages (from-to) | 397-419 |
| Number of pages | 23 |
| Journal | Michigan Mathematical Journal |
| Volume | 64 |
| Issue number | 2 |
| Publication status | Published - 1 Jun 2015 |
Bibliographical note
Date of Acceptance: 18/01/15Fingerprint
Dive into the research topics of 'Balanced walls for random groups'. Together they form a unique fingerprint.Profiles
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Dr John M Mackay
- School of Mathematics - Associate Professor in Pure Mathematics
- Probability, Analysis and Dynamics
- Pure Mathematics
- Analysis
Person: Academic , Member