The conjugacy problem for Dehn twist automorphisms of free groups |
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Authors: | MM Cohen M Lustig |
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Institution: | Department of Mathematics, Cornell University, Ithaca, NY 14853, USA, e-mail: marshall@math.cornell.edu, US Mathematik, Ruhr Universit?t Bochum, D-44780 Bochum, Germany, e-mail: Martin.Lustig@rz.ruhr-uni-bochum.de, DE
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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 , 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 .
Received: February 12, 1996. |
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Keywords: | , Free group, Dehn twist automorphism, normal form, algorithm, conjugacy problem, graph of groups decomposition, centralizer,,,,,,index, fixed subgroup, |
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