A. Yu. Olshanskii

most citedGroups with quadratic-non-quadratic Dehn functions

3 citations · 3 across the 3 of their papers we have counts for

collaborators

Showing math.GRShow all

3 papers · 1 filter

math.GR2005

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 $G$ with two non- $π_{1}$ -equivalent asymptotic cones.

math.GR2005★ 3 cited

Groups with quadratic-non-quadratic Dehn functions

A. Yu. Olshanskii

We construct a finitely presented group $G$ with non-quadratic Dehn function $f$ majorizable by a quadratic function on arbitrary long intervals.

math.GR2004

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.