Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized triangle groups, expanders, and a problem of Agol and Wise   Answering a question asked by Agol and Wise, we show that a desired stronger
form of Wise's malnormal special quotient theorem does not hold. The
counterexamples are generalizations of triangle groups, built using the
Ramanujan graphs constructed by Lubotzky--Phillips--Sarnak.

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The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn
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The categories of this paper are: eess
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The categories of this paper are: hep-lat
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-th
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The categories of this paper are: math-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: stat
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The categories of this paper are: quant-ph