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Pop-stack-sorting for Coxeter groups
Let \(W\) be an irreducible Coxeter group. We define the Coxeter pop-stack-sorting operator \(\mathsf{Pop}:W\to W\) to be the map that fixes the identity element and sends each nonidentity element \(w\) to the meet of the elements covered by \(w\) in the right weak order. When \(W\) is the symmetric group …