Homomorphic images of Branch groups, and Serre's property (FA)

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It is shown that a finitely generated branch group has Serre's property (FA) if and only if it does not surject onto the infinite cyclic group or the infinite dihedral group. An example of a finitely generated self-similar branch group surjecting onto the infinite cyclic group is constructed.
20 pages, 2 figures

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Group Theory, 20E08; 20F65

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http://salesiana.dossiersoluciones.com/handle/123456789/128291

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0704.2572
 http://arxiv.org/abs/0704.2572

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arXiv