7 citations · 10 across the 7 of their papers we have counts for
8 papers · 1 filter
A finitely presented group with two non-homeomorphic asymptotic cones
A. Yu. Olshanskii, M. V. Sapir
We give an example of a finitely presented group with two non--equivalent asymptotic cones.
Groups with non-simply connected asymptotic cones
A. Yu. Olshanskii, Mark Sapir
We construct a group (an HNN extension of a free group) with polynomial isoperimetric function, linear isodiametric function and non-simply connected asymptotic cones.
Metrics on diagram groups and uniform embeddings in a Hilbert space
Goulnara Arzhantseva, Victor Guba, Mark Sapir
We give first examples of finitely generated groups having an intermediate, with values in (0,1), Hilbert space compression (which is a numerical parameter measuring the distortion…
Groups with small Dehn functions and bipartite chord diagrams
Alexander Olshanskii, Mark Sapir
We introduce a new invariant of bipartite chord diagrams and use it to construct the first examples of groups with Dehn function and other small Dehn functions. Some of…
Subgroups of finitely presented groups with solvable conjugacy problem
A. Yu. Olshanskii, M. V. Sapir
We prove that every countable group with solvable power problem embeds into a finitely presented 2-generated group with solvable power and conjugacy problems.
Relatively Hyperbolic Groups with Rapid Decay Property
Cornelia Drutu, Mark Sapir
We prove that a finitely generated group hyperbolic relative to the collection of finitely generated subgroups H_1,..., H_m has the Rapid Decay property if and only if each H_i…