Abstract.
A Dehn twist automorphism of a group G is an automorphism which can be given (as specified below) in terms of a graph-of-groups decomposition of G with infinite cyclic edge groups. The classic example is that of an automorphism of the fundamental group of a surface which is induced by a Dehn twist homeomorphism of the surface. For \( G = F_n \), a non-abelian free group of finite rank n, a normal form for Dehn twist is developed, and it is shown that this can be used to solve the conjugacy problem for Dehn twist automorphisms of \( F_n \).
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Received: February 12, 1996.
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Cohen, M., Lustig, M. The conjugacy problem for Dehn twist automorphisms of free groups. Comment. Math. Helv. 74, 179–200 (1999). https://doi.org/10.1007/s000140050085
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DOI: https://doi.org/10.1007/s000140050085