Dunwoody, M. J. Groups acting on \(\mathbb{R}\)-trees. (English) Zbl 0767.20011 Commun. Algebra 19, No. 7, 2125-2136 (1991). Given an almost finitely presented group \(G\) with free action on a minimal \(\mathbb{R}\)-tree \(T\), the author constructs a similar \(\mathbb{R}\)-tree \(T'\) and a \(G\)-morphism \(\phi:T' \rightarrow T\) for which \(T'\) has certain nice properties, e.g. there is a bound on the number of vertex orbits.For the case of simplicial \(\mathbb{R}\)-trees, see Ch. 6 of W. Dicks and M. J. Dunwoody [Groups acting on graphs (1989; Zbl 0665.20001)]. Reviewer: B.N.Apanasov (Norman) Cited in 1 ReviewCited in 1 Document MSC: 20E08 Groups acting on trees 20F05 Generators, relations, and presentations of groups Keywords:almost finitely presented group; free action; minimal \(\mathbb{R}\)-tree; number of vertex orbits; simplicial \(\mathbb{R}\)-trees Citations:Zbl 0665.20001 PDF BibTeX XML Cite \textit{M. J. Dunwoody}, Commun. Algebra 19, No. 7, 2125--2136 (1991; Zbl 0767.20011) Full Text: DOI OpenURL References: [1] Dicks, W. 1989. ”Groups acting on graphs”. Cambridge: Cambridge University Press. · Zbl 0665.20001 [2] DOI: 10.1016/0040-9383(87)90005-X · Zbl 0623.57013 [3] Shalen, P.B. 1987. ”Dendrology of groups: an introduction, in Essays in group theory”. Edited by: Gersten, S.M. Vol. 8, 265–320. MSRI Publications. Springer [4] DOI: 10.1090/S0273-0979-1990-15907-5 · Zbl 0708.30044 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.