An (FA)-group that is not (FR)

Details An (FA)-group that is not (FR) An (FA)-group that is not (FR)

2012-03-15

arxiv.org/abs/1203.3317v1

Mathematics

Group Theory

9 pages, 2 figures

Scientific paper

We construct examples of finitely generated groups L that have non-trivial
actions on $\mathbb{R}$-trees but which cannot act, without fixing a vertex, on
any simplicial tree. Moreover, any finitely presented group mapping onto L does
have a fixed point-free action on some simplicial tree.

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