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arxiv: math/0411174 · v3 · submitted 2004-11-08 · 🧮 math.GR · math.GT

Groups with small Dehn functions and bipartite chord diagrams

classification 🧮 math.GR math.GT
keywords dehngroupsbipartitechorddiagramsfunctionssmallconjugacy
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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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