Engulfing in word-hyperbolic groups.
Niblo, G.A., Williams, B.T. (2002)
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Niblo, G.A., Williams, B.T. (2002)
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Groves, Daniel (2005)
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Long, D.D., Reid, A.W. (2002)
Algebraic & Geometric Topology
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Charles Terence Clegg Wall (2003)
Revista Matemática Complutense
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A survey of splitting theorems for abstract groups and their applications. Topics covered include preliminaries, early results, Bass-Serre theory, the structure of G-trees, Serre's applications to SL and length functions. Stallings' theorem, results about accessibility and bounds for splittability. Duality groups and pairs; results of Eckmann and collaborators on PD groups. Relative ends, the JSJ theorems and the splitting results of Kropholler and Roller on PD groups. Notions of quasi-isometry,...
Bumagin, Inna (2004)
Algebraic & Geometric Topology
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Tieudjo, D. (2005)
International Journal of Mathematics and Mathematical Sciences
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Benjamin Fine, Gerhard Rosenberger, Michael Stille (1997)
Revista Matemática de la Universidad Complutense de Madrid
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Here we consider two classes of torsion-free one-relator groups which have proved quite amenable to study-the cyclically pinched one-relator groups and the conjugacy pinched one-relator groups. The former is the class of groups which are free products of free groups with cyclic amalgamations while the latter is the class of HNN extensions of free groups with cyclic associated subgroups. Both are generalizations of surface groups. We compare and contrast results in these classes relative...