Groups with small Dehn functions and bipartite chord diagrams

Details Groups with small Dehn functions and bipartite chord diagrams Groups with small Dehn functions and bipartite chord diagrams

2004-11-08

arxiv.org/abs/math/0411174v3

Mathematics

Group Theory

39 pages; We added a section where we prove that multiple HNN extensions of free groups having undecidable conjugacy problem c

Scientific paper

We introduce a new invariant of bipartite chord diagrams and use it to
construct the first examples of groups with Dehn function $n^2\log n$ and other
small Dehn functions. Some of these groups have undecidable conjugacy problem.

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