Title

On subgroups of crystallographic Coxeter groups

Document Type

Article

Publication Date

6-18-2013

Abstract

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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