An Automorphism of A Free Metabelian Group Without Fixed Points

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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.
5 pages

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Group Theory, Primary 20E05; Secondary 20E36, 22F28

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http://salesiana.dossiersoluciones.com/handle/123456789/69367

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0311490
 http://arxiv.org/abs/math/0311490

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arXiv