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Tesselations of S2 and equations over torsion-free groups

Published online by Cambridge University Press:  20 January 2009

A. Clifford
State University at Albany, 1400 Washington Ave., Albany N.Y. 12222, U.S.A.
R. Z. Goldstein
State University at Albany, 1400 Washington Ave., Albany N.Y. 12222, U.S.A.
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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.

Research Article
Copyright © Edinburgh Mathematical Society 1995



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