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- W2100075407 abstract "When the standard representation of a crystallographic Coxeter group G (with string diagram) is reduced modulo the integer d≥2, one obtains a finite group Gd which is often the automorphism group of an abstract regular polytope. Building on earlier work in the case that d is an odd prime, here we 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." @default.
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- W2100075407 date "2010-06-01" @default.
- W2100075407 modified "2023-09-24" @default.
- W2100075407 title "Locally toroidal polytopes and modular linear groups" @default.
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- W2100075407 doi "https://doi.org/10.1016/j.disc.2009.11.037" @default.
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