Minimality of the Boundary of a Right-angled Coxeter System

نویسنده

  • TETSUYA HOSAKA
چکیده

In this paper, we show that the boundary ∂Σ(W, S) of a rightangled Coxeter system (W, S) is minimal if and only if W S̃ is irreducible, where W S̃ is the minimum parabolic subgroup of finite index in W . We also provide several applications and remarks.

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تاریخ انتشار 2006