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Timeline for Separability in Coxeter groups

Current License: CC BY-SA 4.0

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Aug 19 at 5:43 answer added AGenevois timeline score: 4
Apr 28 at 6:58 answer added AGenevois timeline score: 6
Apr 19 at 4:46 comment added AGenevois Indeed, Haglund and Wise's result is something I have in mind. I think it should be possible to embed $C(\Gamma)$ into a new Coxeter group $C(\Gamma')$ as a standard parabolic subgroup in such a way that the double coset $\langle \Phi \rangle \langle \Psi \rangle$ coincides, up to finite index, with a $\mathrm{Cross}(A,B)$ for some walls $A,B$.
Apr 18 at 11:48 comment added HJRW These facts are closely related to the paper Coxeter groups are virtually special by Haglund--Wise. See especially their Theorem 7.2. Perhaps this is what you had in mind already.
Apr 17 at 18:57 history asked AGenevois CC BY-SA 4.0