The Hurwitz Equivalence Problem is Undecidable

Details The Hurwitz Equivalence Problem is Undecidable The Hurwitz Equivalence Problem is Undecidable

2005-11-07

arxiv.org/abs/math/0511153v2

Mathematics

Logic

Scientific paper

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 $\Delta^2$-factorizations in the braid groups
$B_n, n\geq 5$ is also undecidable.

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