Hurwitz equivalences of positive group generators

Mathematics – Group Theory

Scientific paper

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16 pages, 4 figures; errors in examples are corrected, some sections are re-written

Scientific paper

For a positively presented group G, we provide a criterion for two tuples of
positive group generators of G to be Hurwitz equivalent or Hurwitz-conjugation
equivalent. We also present an algorithmic approach to solve the Hurwitz
equivalence and the Hurwitz search problems by using the word reversing method.

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