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An Automorphism of A Free Metabelian Group Without Fixed Points

Martin Kassabov
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Abstract

We construct an example of an IA-automorphism of the free metabelian group of rank $n\geq 3$ without nontrivial fixed points. That gives a negative answer to the question raised by Shpilrain. By a result of Bachmuth \cite{Ba1}, such an automorphism does not exist if the rank is equal to 2.

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Martin Kassabov. 2003-11-26. An Automorphism of A Free Metabelian Group Without Fixed Points. https://arxiv.org/abs/math/0311490

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