Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Embedding free Burnside groups in finitely presented groups   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.

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The categories of this paper are: atom-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-th
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The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-bio
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The categories of this paper are: nlin
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The categories of this paper are: hep-th
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The categories of this paper are: stat
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: econ