Non-amenability of product replacement graphs
Malyshev, Anton
Original · EN
We prove non-amenability of the product replacement graphs Γₙ(G) for uniformly non-amenable groups. We also prove it for Z-large groups, when n is sufficiently large. It follows that Γₙ(G) is non-amenable when n is sufficiently large for hyperbolic groups, linear groups, and elementary amenable groups.
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