An algorithmic approach to Hurwitz equivalences

Tetsuya Ito

doi:10.32917/hmj/1389102579

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Home > Journals > Hiroshima Math. J. > Volume 43 > Issue 3 > Article

November 2013 An algorithmic approach to Hurwitz equivalences

Tetsuya Ito

Hiroshima Math. J. 43(3): 335-350 (November 2013). DOI: 10.32917/hmj/1389102579

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Abstract

For a group $G$ with a certain positive presentation, we provide a criterion for two tuples of generators of $G$ to be Hurwitz equivalent. Based on this criterion, we present an algorithmic approach to solve the Hurwitz equivalence and the Hurwitz search problems by using the word reversing method.

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Tetsuya Ito. "An algorithmic approach to Hurwitz equivalences." Hiroshima Math. J. 43 (3) 335 - 350, November 2013. https://doi.org/10.32917/hmj/1389102579