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

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

2007-04-19

arxiv.org/abs/0704.2572v3

Mathematics

Group Theory

20 pages, 2 figures

Scientific paper

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.

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