Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Locally Toroidal Polytopes and Modular Linear Groups   When the standard representation of a crystallographic Coxeter group G (with
string diagram) is reduced modulo the integer d>1, one obtains a finite group
G^d which is often the automorphism group of an abstract regular polytope.
Building on earlier work in the case that d is an odd prime, we here develop
methods to handle composite moduli and completely describe the corresponding
modular polytopes when G is of spherical or Euclidean type. Using a modular
variant of the quotient criterion, we then describe the locally toroidal
polytopes provided by our construction, most of which are new.

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The categories of this paper are: plasm-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ph
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The categories of this paper are: supr-con
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The categories of this paper are: ao-sci
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The categories of this paper are: math-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: cmp-lg
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The categories of this paper are: gr-qc
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
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The categories of this paper are: cs