Homomorphic images of Branch groups, and Serre's property (FA)
classification
🧮 math.GR
keywords
groupbranchinfinitecyclicfinitelygeneratedontoproperty
read the original abstract
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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