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Results 1 - 10
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61
Effective JSJ Decompositions
, 2004
"... In this paper we describe an elimination process which is a deterministic rewriting procedure that on each elementary step transforms one system of equations over free groups into a finitely many new ones. Infinite branches of this process correspond to cyclic splittings of the coordinate group of ..."
Abstract
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Cited by 19 (4 self)
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of the initial system of equations. This allows us to construct algorithmically Grushko’s decompositions of finitely generated fully residually free groups and cyclic [abelian] JSJ decompositions of freely indecomposable finitely generated fully residually free groups. We apply these results to obtain
JSJ DECOMPOSITIONS OF QUADRATIC BAUMSLAG-SOLITAR GROUPS
"... Abstract. Generalized Baumslag-Solitar groups are defined as fundamental groups of graphs of groups with infinite cyclic vertex and edge groups. Forester [F] proved that in most cases the defining graphs are cyclic JSJ decompositions, in the sense of Rips and Sela. Here we extend Forester’s results ..."
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Abstract. Generalized Baumslag-Solitar groups are defined as fundamental groups of graphs of groups with infinite cyclic vertex and edge groups. Forester [F] proved that in most cases the defining graphs are cyclic JSJ decompositions, in the sense of Rips and Sela. Here we extend Forester’s results
BOUNDARIES AND JSJ DECOMPOSITIONS OF CAT(0)-GROUPS
, 2007
"... Abstract. Let G be a one-ended group acting discretely and co-compactly on a CAT(0) space X. We show that ∂X has no cut points and that one can detect splittings of G over two-ended groups and recover its JSJ decomposition from ∂X. We show that any discrete action of a group G on a CAT(0) space X sa ..."
Abstract
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Cited by 11 (0 self)
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Abstract. Let G be a one-ended group acting discretely and co-compactly on a CAT(0) space X. We show that ∂X has no cut points and that one can detect splittings of G over two-ended groups and recover its JSJ decomposition from ∂X. We show that any discrete action of a group G on a CAT(0) space X
JSJ decomposition of finitely presented groups and complexes of groups
, 2008
"... A JSJ-splitting of a group G over a certain class of subgroups is a graph of groups decomposition of G which describes all possible decompositions of G as an amalgamated product or an HNN extension over subgroups lying in the given class. Such decompositions originated in 3-manifold topology. In t ..."
Abstract
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Cited by 42 (1 self)
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A JSJ-splitting of a group G over a certain class of subgroups is a graph of groups decomposition of G which describes all possible decompositions of G as an amalgamated product or an HNN extension over subgroups lying in the given class. Such decompositions originated in 3-manifold topology
QUASI-ISOMETRIES, BOUNDARIES AND JSJ-DECOMPOSITIONS OF RELATIVELY HYPERBOLIC GROUPS
"... Abstract. We demonstrate the quasi-isometry invariance of two important geometric struc-tures for relatively hyperbolic groups: the coned space and the cusped space. As applications, we produce a JSJ-decomposition for relatively hyperbolic groups which is invariant under quasi-isometries and outer a ..."
Abstract
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Cited by 1 (0 self)
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Abstract. We demonstrate the quasi-isometry invariance of two important geometric struc-tures for relatively hyperbolic groups: the coned space and the cusped space. As applications, we produce a JSJ-decomposition for relatively hyperbolic groups which is invariant under quasi-isometries and outer
JSJ-decompositions of Coxeter groups over virtually abelian splittings, preprint 2005
"... The idea of “JSJ-decompositions ” for 3-manifolds began with work of Waldhausen and was developed later through work of Jaco, Shalen and Johansen. It was shown that there is a finite collection of 2-sided, incompressible tori that separate a closed irreducible 3-manifold into pieces with strong topo ..."
Abstract
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Cited by 4 (2 self)
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The idea of “JSJ-decompositions ” for 3-manifolds began with work of Waldhausen and was developed later through work of Jaco, Shalen and Johansen. It was shown that there is a finite collection of 2-sided, incompressible tori that separate a closed irreducible 3-manifold into pieces with strong
Results 1 - 10
of
61
