On dense orbits in the boundary of a Coxeter system
نویسندگان
چکیده
منابع مشابه
On Dense Orbits in the Boundary of a Coxeter System
In this paper, we study the minimality of the boundary of a Coxeter system. We show that for a Coxeter system (W,S) if there exist a maximal spherical subset T of S and an element s0 ∈ S such that m(s0, t) ≥ 3 for each t ∈ T and m(s0, t0) = ∞ for some t0 ∈ T , then every orbit Wα is dense in the boundary ∂Σ(W,S) of the Coxeter system (W,S), hence ∂Σ(W,S) is minimal, where m(s0, t) is the order ...
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ژورنال
عنوان ژورنال: Kyoto Journal of Mathematics
سال: 2005
ISSN: 2156-2261
DOI: 10.1215/kjm/1250281975