Non-amenable finitely presented torsion-by-cyclic groups

Details Non-amenable finitely presented torsion-by-cyclic groups Non-amenable finitely presented torsion-by-cyclic groups

2002-08-30

arxiv.org/abs/math/0208237v1

Mathematics

Group Theory

Scientific paper

We construct a finitely presented non-amenable group without free non-cyclic
subgroups thus providing a finitely presented counterexample to von Neumann's
problem. Our group is an extension of a group of finite exponent n >> 1 by a
cyclic group, so it satisfies the identity [x,y]^n = 1.

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