Divergence of CAT(0) cube complexes and Coxeter groups
نویسندگان
چکیده
منابع مشابه
Coxeter Groups Act on Cat(0) Cube Complexes
We show that any finitely generated Coxeter group acts properly discontinuously on a locally finite, finite dimensional CAT(0) cube complex. For any word hyperbolic or right angled Coxeter group we prove that the cubing is cocompact. We show how the local structure of the cubing is related to the partial order studied by Brink and Howlett in their proof of automaticity for Coxeter groups. In hi...
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A finite Coxeter group possesses a distinguished conjugacy class of Coxeter elements. The literature about these is very large, but it seems to me that there is still room for a better motivated account than what exists. The standard references on thismaterial are [Bourbaki:1968] and [Humphreys:1990], butmy treatment follows [Steinberg:1959] and [Steinberg:1985], from which the clever parts of ...
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ژورنال
عنوان ژورنال: Algebraic & Geometric Topology
سال: 2018
ISSN: 1472-2739,1472-2747
DOI: 10.2140/agt.2018.18.1633