Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Brauer group of Burnside rings   The Brauer group of a commutative ring is an important invariant of a
commutative ring, a common journeyman to the group of units and the Picard
group. Burnside rings of finite groups play an important role in representation
theory, and their groups of units and Picard groups have been studied
extensively. In this short note, we completely determine the Brauer groups of
Burnside rings: they vanish.

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The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th
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The categories of this paper are: eess
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The categories of this paper are: cmp-lg
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The categories of this paper are: comp-gas
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The categories of this paper are: astro-ph
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The categories of this paper are: physics
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The categories of this paper are: cond-mat
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
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The categories of this paper are: supr-con
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: alg-geom