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The Hurwitz Equivalence Problem is Undecidable

E. Liberman, M. Teicher

math.LOarXiv:math/0511153

Abstract

In this paper, we prove that the Hurwitz equivalence problem for 1-factorizations in F2 F2 is undecidable, and as a consequence, the Hurwitz equivalence problem for Δ2-factorizations in the braid groups Bn, n≥ 5 is also undecidable.

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