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61
Krull dimension for limit groups II: aligning JSJ decompositions
, 2008
"... ABSTRACT. This is the second paper in a sequence on Krull dimension for limit groups, answering a question of Z. Sela. In it we develop the notion of a resolution of a sequence of limit groups and show how to derive resolutions of low complexity from resolutions of high complexity. 1. ..."
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Cited by 2 (1 self)
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ABSTRACT. This is the second paper in a sequence on Krull dimension for limit groups, answering a question of Z. Sela. In it we develop the notion of a resolution of a sequence of limit groups and show how to derive resolutions of low complexity from resolutions of high complexity. 1.
QUASI-ISOMETRY INVARIANTS FROM DECORATED TREES OF CYLINDERS OF TWO-ENDED JSJ DECOMPOSITIONS
"... Abstract. We construct quasi-isometry invariants of a one-ended finitely pre-sented group by considering the tree of cylinders of a two-ended JSJ decompo-sition of the group. When the group satisfies addition quasi-isometric rigidity hypotheses we construct finer invariants by also considering relat ..."
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Abstract. We construct quasi-isometry invariants of a one-ended finitely pre-sented group by considering the tree of cylinders of a two-ended JSJ decompo-sition of the group. When the group satisfies addition quasi-isometric rigidity hypotheses we construct finer invariants by also considering
unknown title
, 2005
"... ISSN numbers are printed here 1 JSJ-decompositions of knot complements in S 3 ..."
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ISSN numbers are printed here 1 JSJ-decompositions of knot complements in S 3
unknown title
, 2005
"... ISSN numbers are printed here 1 JSJ-decompositions of knot complements in S 3 ..."
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ISSN numbers are printed here 1 JSJ-decompositions of knot complements in S 3
Annulus-Torus decompositions for Poincaré duality pairs
, 2008
"... There are several algebraic analogues of the JSJ–decomposition of a 3–manifold, one of which was described by the authors. We study this analogue in the special case of Poincaré duality pairs. ..."
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There are several algebraic analogues of the JSJ–decomposition of a 3–manifold, one of which was described by the authors. We study this analogue in the special case of Poincaré duality pairs.
On a proof of the JSJ theorem
, 2002
"... In this article we expose a proof of the Canonical Decomposition Theorem of irreducible 3-manifolds along tori and annuli, also known as JSJ Theorem. This proof will be based on the ideas that S. Matveev used in his article [5] which we extend from the closed to the compact case. The result is equ ..."
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Cited by 1 (0 self)
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In this article we expose a proof of the Canonical Decomposition Theorem of irreducible 3-manifolds along tori and annuli, also known as JSJ Theorem. This proof will be based on the ideas that S. Matveev used in his article [5] which we extend from the closed to the compact case. The result
Some Examples of Hyperbolic Groups
, 1996
"... We describe some examples of hyperbolic groups to compare the range of validity of different theories of JSJ-decompositions of groups. ..."
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Cited by 2 (0 self)
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We describe some examples of hyperbolic groups to compare the range of validity of different theories of JSJ-decompositions of groups.
Results 11 - 20
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61