Alexander Olshanskii

most citedGroups with small Dehn functions and bipartite chord diagrams

2 citations · 3 across the 2 of their papers we have counts for

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math.GR2005★ 1 cited

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.

math.GR2004★ 2 cited

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 $n^{2} lo g n$ and other small Dehn functions. Some of…