Authors: Yulan Qing
Publish Date: 2016/04/01
Volume: 183, Issue: 1, Pages: 113-122
Abstract
In this paper we study the rightangled Coxeter groups that acts geometrically on the Salvetti complex of a certain rightangled Artin group which we refer to as Croke–Kleiner spaces We prove that any rightangled Coxeter group that acts geometrically on the Croke–Kleiner spaces acts with pi /2 angles between reflecting axes while the quasiisometric rightangled Artin group can act with angles that are any real number in the range 0 pi /2 The contrast between the two examples shows that in this case a rightangled Coxeter group is geometrically more “rigid” than its quasiisometric counterpart
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