Rimlinger, Frank Free actions on \(\mathbb{R}\)-trees. (English) Zbl 0803.20017 Trans. Am. Math. Soc. 332, No. 1, 313-329 (1992). Summary: We characterize the free minimal actions of finitely generated groups on \(\mathbb{R}\)-trees in terms of certain equivalence relations on compact metric graphs. Cited in 5 Documents MSC: 20E08 Groups acting on trees 05C25 Graphs and abstract algebra (groups, rings, fields, etc.) 20F05 Generators, relations, and presentations of groups 05C05 Trees Keywords:free minimal actions; finitely generated groups; \(\mathbb{R}\)-trees; compact metric graphs PDF BibTeX XML Cite \textit{F. Rimlinger}, Trans. Am. Math. Soc. 332, No. 1, 313--329 (1992; Zbl 0803.20017) Full Text: DOI OpenURL