Zobrazeno 1 - 10
of 29
pro vyhledávání: '"Swarup, Gadde A."'
We prove the analogue of Johannson's Deformation Theorem for PD3 pairs.
Comment: 22 pages, no figures
Comment: 22 pages, no figures
Externí odkaz:
http://arxiv.org/abs/2006.15684
Analogues of JSJ decompositions were developed for Poincar\'e duality pairs in [19]. These decompositions depend only on the group. Our focus will be on describing the edge splittings of these decompositions more precisely. We use our results to comp
Externí odkaz:
http://arxiv.org/abs/2003.00311
Publikováno v:
Algebr. Geom. Topol. 9 (2009) 1971-1986
The intersection pattern of the translates of the limit set of a quasi-convex subgroup of a hyperbolic group can be coded in a natural incidence graph, which suggests connections with the splittings of the ambient group. A similar incidence graph exi
Externí odkaz:
http://arxiv.org/abs/0906.1149
Autor:
Scott, Peter, Swarup, Gadde A.
The authors previously described an algebraic analogue of the JSJ-decomposition of a 3-manifold. This analogue is defined for any finitely presented, one-ended group. We study this analogue in the special case of Poincar\'e duality pairs.
Commen
Commen
Externí odkaz:
http://arxiv.org/abs/math/0703890
Autor:
Swarup, Gadde A.
We give an exposition of Delzant's ideas extending the notion of Scott complexity of finitely generated groups to surjective homomorphisms of finitely presented groups to finitely generated groups.
Comment: 8 pages
Comment: 8 pages
Externí odkaz:
http://arxiv.org/abs/math/0401308
Publikováno v:
Internat. J. Algebra Comput. 15 (2005), no. 2, 343--366
We combine ideas of Scott and Swarup on good position for almost invariant subsets of a group with ideas of Sageev on constructing cubings from such sets. We construct cubings which are more canonical than in Sageev's original construction. We also s
Externí odkaz:
http://arxiv.org/abs/math/0401133
Autor:
Scott, Peter, Swarup, Gadde
Publikováno v:
Asterisque 289 (2003)
We find canonical decompositions for finitely presented groups which specialize to the classical JSJ-decomposition when restricted to the fundamental groups of Haken manifolds. The decompositions that we obtain are invariant under automorphisms of th
Externí odkaz:
http://arxiv.org/abs/math/0110210
Autor:
Gadgil, Siddhartha, Swarup, Gadde A.
We give a short proof of Waldhausen's homeomorphism theorem for orientable Haken 3-manifolds.
Comment: 2 pages
Comment: 2 pages
Externí odkaz:
http://arxiv.org/abs/math/0108116
Autor:
Scott, Peter, Swarup, Gadde
Publikováno v:
Trans. Amer. Math. Soc. 353 (2001), 4973-5001.
We introduce the notion of a `canonical' splitting over Z or ZxZ for a finitely generated group G. We show that when G happens to be the fundamental group of an orientable Haken manifold M with incompressible boundary, then the decomposition of the g
Externí odkaz:
http://arxiv.org/abs/math/0107232
Autor:
Scott, Peter, Swarup, Gadde A.
Publikováno v:
Geom. Topol. 4 (2000) 179-218
We prove algebraic analogues of the facts that a curve on a surface with self-intersection number zero is homotopic to a cover of a simple curve, and that two simple curves on a surface with intersection number zero can be isotoped to be disjoint.
Externí odkaz:
http://arxiv.org/abs/math/9906004