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The Hurwitz Equivalence Problem is Undecidable

Authors
  • Liberman, E.
  • Teicher, M.
Type
Preprint
Publication Date
Nov 07, 2005
Submission Date
Nov 07, 2005
Identifiers
arXiv ID: math/0511153
Source
arXiv
License
Unknown
External links

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

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