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- W2950133566 abstract "We construct an embedding of a free Burnside group $B(m,n)$ of odd $n > 2^{48}$ and rank $m >1$ in a finitely presented group with some special properties. The main application of this embedding is an easy construction of finitely presented non-amenable groups without noncyclic free subgroups (which provides a finitely presented counterexample to the von Neumann problem on amenable groups). As another application, we construct weakly finitely presented groups of odd exponent $n gg 1$ which are not locally finite." @default.
- W2950133566 created "2019-06-27" @default.
- W2950133566 creator A5088158552 @default.
- W2950133566 date "2002-10-17" @default.
- W2950133566 modified "2023-09-27" @default.
- W2950133566 title "Embedding free Burnside groups in finitely presented groups" @default.
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