Anton Malyshev
Published 2013-05-10Version 1
We prove non-amenability of the product replacement graphs \Gamma_n(G) for uniformly non-amenable groups. We also prove it for Z-large groups, when n is sufficiently large. It follows that \Gamma_n(G) is non-amenable when n is sufficiently large for hyperbolic groups, linear groups, and elementary amenable groups.
Growth in product replacement graphs
Elementary equivalence vs commensurability for hyperbolic groups
Hyperbolic Groups with Finitely Presented Subgroups not of Type $F_3$
![QR code for arXiv:1305.2408 [math.GR]](http://oss.arxitics.com/images/favicon.svg)