arXiv · math/0511153
The Hurwitz Equivalence Problem is Undecidable
Abstract
In this paper, we prove that the Hurwitz equivalence problem for 1-factorizations in $F_2 \oplus F_2$ is undecidable, and as a consequence, the Hurwitz equivalence problem for $Δ^2$-factorizations in the braid groups $B_n, n\geq 5$ is also undecidable.
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E. Liberman, M. Teicher. 2005-11-07. The Hurwitz Equivalence Problem is Undecidable. https://arxiv.org/abs/math/0511153
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