3 citations · 5 across the 4 of their papers we have counts for
4 papers
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 quadratic-non-quadratic Dehn functions
A. Yu. Olshanskii
We construct a finitely presented group with non-quadratic Dehn function majorizable by a quadratic function on arbitrary long intervals.
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.
The Conjugacy Problem and Higman Embeddings
A. Yu. Olshanskii, M. V. Sapir
For every finitely generated recursively presented group G we construct a finitely presented group H containing G such that G is (Frattini) embedded into H and the group H has solv…