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On subgroups of crystallographic Coxeter groups

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A framework is presented based on color symmetry theory that will facilitate the determination of the subgroup structure of a crystallographic Coxeter group. It is shown that the method may be extended to characterize torsion‐free subgroups. The approach is to treat these groups as groups of symmetries of tessellations in space by fundamental polyhedra.
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Document Type: Research Article

Publication date: July 1, 2013

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