Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Solution to the Burnside Problem   The Burnside Problem asks whether a finitely generated group of exponent n is
finite.
  We present a solution for 2-generator groups of prime power exponent. Results
of P. Hall and G. Higman extends the finiteness conclusion to groups having
composite exponents. Our main result, called the Generalized Burnside Theorem,
is a solvability theorem that applies to a family of groups called GB
(Generalized Burnside) groups that contain infinite as well as finite groups.
The final section discusses the extension to k-generator groups although
details are left for another time.

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The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
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The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
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The categories of this paper are: q-fin
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The categories of this paper are: q-alg
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The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
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The categories of this paper are: acc-phys
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The categories of this paper are: bayes-an