26 citations · 63 across the 24 of their papers we have counts for
7 papers · 1 filter
Finite cuts and CAT(0) boundaries
Panos Papasoglu, Eric Swenson
We show that if a 1-ended group acts geometrically on a CAT(0) space and $\bd X$ is separated by points then either is virtually a surface group or splits over…
Splittings and the asymptotic topology of the lamplighter group
Panos Papasoglu
It is known that splittings of finitely presented groups over 2-ended groups can be characterized geometrically. We show that this characterization does not extend to all finitely…
Codimension one subgroups and boundaries of hyperbolic groups
Thomas Delzant, Panos Papasoglu
We construct hyperbolic groups with the following properties: The boundary of the group has big dimension, it is separated by a Cantor set and the group does not split. This shows…
Boundaries and JSJ decompositions of CAT(0)-groups
Panos Papasoglu, Eric Swenson
Let G be a one-ended group acting discretely and co-compactly on a CAT(0) space X. We show that the boundary of X has no cut points and that one can detect splittings of over t…
JSJ-decompositions of finitely presented groups and complexes of groups
Koji Fujiwara, Panos Papasoglu
A JSJ-splitting of a group over a certain class of subgroups is a graph of groups decomposition of which describes all possible decompositions of as an amalgamated prod…
Group splittings and asymptotic topology
Panos Papasoglu
It is a consequence of the theorem of Stallings on groups with many ends that splittings over finite groups are preserved by quasi-isometries. In this paper we use asymptotic topol…