New examples of groups acting on real trees. (26th November 2015)

• Record Type: Journal Article
• Authors: Minasyan, Ashot
• Is Part Of: Journal of topology. Volume 9:Part 1(2016)
• Page Start: 192
• Page End: 214
• Publication Date: 2015-11-26
• Subjects: Topology -- Periodicals; 514.05
• DOI: 10.1112/jtopol/jtv035
• Languages: English
• ISSNs: 1753-8416

Abstract

Abstract : We construct the first example of a finitely generated group that has Serre's property (FA) (that is, whenever it acts on a simplicial tree, it fixes a vertex), but admits a fixed point‐free action on anR ‐tree with finite arc stabilizers. We also give a short and elementary construction of finitely generated groups that have property (FA) but do not have (FR ).