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On a question of Remeslennikov

Published online by Cambridge University Press:  04 June 2001

James McCool
Affiliation:
Department of Mathematics, University of Toronto, Toronto, Ontario, Canada M5S 1A1 e-mail:mccool@math.toronto.edu
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We give an example of an element r of a free group F, and an element s of minimal length in the normal closure of r in F, such that s is not conjugate to r±1 or to [r±1f], for any element f of F.

Type
Research Article
Copyright
2001 Glasgow Mathematical Journal Trust