Dicks, Warren; Dunwoody, M. J. Groups acting on graphs. Reprint of the 1989 hardback ed. (English) Zbl 1272.20025 Cambridge Studies in Advanced Mathematics 17. Cambridge: Cambridge University Press (ISBN 978-0-521-18000-9/pbk). xxii, 283 p. (2010). See the review of the 1989 original in Zbl 0665.20001. Cited in 8 Documents MSC: 20E08 Groups acting on trees 20-02 Research exposition (monographs, survey articles) pertaining to group theory 20F05 Generators, relations, and presentations of groups 05C25 Graphs and abstract algebra (groups, rings, fields, etc.) 55-02 Research exposition (monographs, survey articles) pertaining to algebraic topology 57-02 Research exposition (monographs, survey articles) pertaining to manifolds and cell complexes 05C05 Trees 18G20 Homological dimension (category-theoretic aspects) 20J05 Homological methods in group theory 55U30 Duality in applied homological algebra and category theory (aspects of algebraic topology) 57M05 Fundamental group, presentations, free differential calculus 57M15 Relations of low-dimensional topology with graph theory 57M20 Two-dimensional complexes (manifolds) (MSC2010) 57M35 Dehn’s lemma, sphere theorem, loop theorem, asphericity (MSC2010) 57N10 Topology of general \(3\)-manifolds (MSC2010) 57Q91 Equivariant PL-topology 20F34 Fundamental groups and their automorphisms (group-theoretic aspects) Keywords:groups acting on graphs; combinatorial group theory; low-dimensional topology; Bass-Serre theory; groups acting on trees; Kurosh subgroup theorem; Nielsen-Schreier theorem; Schreier index formula; Grushko-Neumann theorem; distance-transitive graphs; almost stability theorem; Stallings ends theorem; groups of cohomological dimension one; Stallings-Swan theorem; augmentation ideals; accessibility; finitely generated groups; PoincarĂ© duality groups; infinite surface groups; \(PD^n\)-groups; PD-pairs; actions of groups; two-dimensional simplicial complexes; finitely presented groups Citations:Zbl 0665.20001; Zbl 0369.20013; Zbl 0492.05036 PDFBibTeX XMLCite \textit{W. Dicks} and \textit{M. J. Dunwoody}, Groups acting on graphs. Reprint of the 1989 hardback ed. Cambridge: Cambridge University Press (2010; Zbl 1272.20025)