Asymptotic Behavior of Word Metrics on Coxeter Groups
نویسندگان
چکیده
We study the geometry of tessellation defined by the walls in the Moussong complex MW of a Coxeter group W . It is proved that geodesics in MW can be approximated by geodesic galleries of the tessellation. A formula for the translation length of an element of W is given. We prove that the restriction of the word metric on the W to any free abelian subgroup A is Hausdorff equivalent to a regular norm on A. 2000 Mathematics Subject Classification: 20F55, 51F15
منابع مشابه
finite asymptotic dimension
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