Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Chordal Coxeter Groups   A solution of the isomorphism problem is presented for the class of Coxeter
groups W that have a finite set of Coxeter generators S such that the
underlying graph of the presentation diagram of the system (W,S) has the
property that every cycle of length at least four has a cord. As an
application, we construct counterexamples to two main conjectures concerning
the isomorphism problem for Coxeter groups.

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The categories of this paper are: physics
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The categories of this paper are: astro-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
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The categories of this paper are: nlin
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The categories of this paper are: q-alg
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The categories of this paper are: gr-qc
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The categories of this paper are: solv-int
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The categories of this paper are: q-bio
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The categories of this paper are: cmp-lg
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The categories of this paper are: alg-geom
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The categories of this paper are: supr-con
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The categories of this paper are: adap-org
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The categories of this paper are: math-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-ex