T. Ben-Itzhak

most citedIdentifying Powers of Half-Twists and Computing its Root

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math.AG2002★ 1 cited

Identifying Powers of Half-Twists and Computing its Root

T. Ben-Itzhak, S. Kaplan, M. Teicher

In this paper we give an algorithm for solving a main case of the conjugacy problem in the braid groups. We also prove that half-twists satisfy a special root property which allows…

math.AG2001

Graph Theoretic Method for Determining non Hurwitz Equivalence in the Braid Group and Symmetric group

M. Teicher, T. Ben-Itzhak

Motivated by the problem of Hurwitz equivalence of $Δ^{2}$ factorization in the braid group, we address the problem of Hurwitz equivalence in the symmetric group, obtained by project…

math.AG2001

Properties of Hurwitz Equivalence in the Braid Group of Order n

M. Teicher, T. Ben-Itzhak

In this paper we prove certain Hurwitz equivalence properties in $B_{n}$ . Our main result is that every two Artin's factorizations of $Δ_{n}^{2}$ of the form $H_{i_1} ... H_{i_{n(n-1)}}…

math.AG2001

Hurwitz Equivalence in Braid Group B_3

M. Teicher, T. Ben-Itzhak

In this paper we prove certain Hurwitz equivalence properties of $B_{n}$ . In particular we prove that for $n = 3$ every two Artin's factorizations of $Δ_{3}^{2}$ of the form $H_{i_1} ...…