Tesselations of S2 and equations over torsion-free groups
Goldstein, Richard Z.
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Let G be a torsion free group, F the free group generated by t. The equation r(t) = 1 is said to have a solution over G if there is a solution in some group that contains G. In this paper we generalize a result due to Klyachko who established the solution when the exponent sum of t is one.
Clifford, A., & Goldstein, R. (1995). Tesselations of S2and Equations Over Torsion-Free Groups. Proceedings Of The Edinburgh Mathematical Society, 38(3), 485-493
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