Hurwitz等价问题是不可判定的
The Hurwitz Equivalence Problem is Undecidable
摘要：
本文证明了$F_2 \oplus F_2$中1-因子分解的Hurwitz等价问题是不可判定的，从而辫群$B_n, n\geq 5$中$Δ^2$ -因子分解的Hurwitz等价问题也是不可判定的.
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
