34 citations · 88 across the 13 of their papers we have counts for
13 papers
Adapted almost invariant sets and splittings of groups
Peter Scott, Gadde Swarup
We prove relative versions of many earlier results about almost invariant sets and splittings of groups. In particular, we prove a relative version of the algebraic torus theorem,…
A deformation theorem for Poincaré duality pairs in dimension 3
Lawrence Reeves, Peter Scott, Gadde A. Swarup
We prove the analogue of Johannson's Deformation Theorem for PD3 pairs.
Comparing decompositions of Poincaré duality pairs
Lawrence Reeves, Peter Scott, Gadde Swarup
Analogues of JSJ decompositions were developed for Poincaré duality pairs in [19]. These decompositions depend only on the group. Our focus will be on describing the edge splitting…
Splittings and C-complexes
Mahan Mj, Peter Scott, Gadde Swarup
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 w…
Canonical decompositions for Poincaré duality pairs
Peter Scott, Gadde A. Swarup
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…
Minimal cubings
Graham Niblo, Michah Sageev, Peter Scott +1
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 whic…