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Publikováno v:
European Journal of Combinatorics
European Journal of Combinatorics, Elsevier, 2017, 62, pp.15-34. ⟨10.1016/j.ejc.2016.10.008⟩
Schilling, Anne; Thiéry, Nicolas M.; White, Graham; & Williams, Nathan. (2015). Braid moves in commutation classes of the symmetric group. UC Davis: Department of Mathematics. Retrieved from: http://www.escholarship.org/uc/item/7b029536
Schilling, A; Thiery, NM; White, G; & Williams, N. (2017). Braid moves in commutation classes of the symmetric group. EUROPEAN JOURNAL OF COMBINATORICS, 62, 15-34. doi: 10.1016/j.ejc.2016.10.008. UC Davis: Department of Mathematics. Retrieved from: http://www.escholarship.org/uc/item/6vm3n48c
European Journal of Combinatorics, Elsevier, 2017, 62, pp.15-34. ⟨10.1016/j.ejc.2016.10.008⟩
Schilling, Anne; Thiéry, Nicolas M.; White, Graham; & Williams, Nathan. (2015). Braid moves in commutation classes of the symmetric group. UC Davis: Department of Mathematics. Retrieved from: http://www.escholarship.org/uc/item/7b029536
Schilling, A; Thiery, NM; White, G; & Williams, N. (2017). Braid moves in commutation classes of the symmetric group. EUROPEAN JOURNAL OF COMBINATORICS, 62, 15-34. doi: 10.1016/j.ejc.2016.10.008. UC Davis: Department of Mathematics. Retrieved from: http://www.escholarship.org/uc/item/6vm3n48c
We prove that the expected number of braid moves in the commutation class of the reduced word $(s_1 s_2 \cdots s_{n-1})(s_1 s_2 \cdots s_{n-2}) \cdots (s_1 s_2)(s_1)$ for the long element in the symmetric group $\mathfrak{S}_n$ is one. This is a vari