Groups with small Dehn functions and bipartite chord diagrams

dc.creatorOlshanskii, Alexander
dc.creatorSapir, Mark
dc.date2004-11-08
dc.date2005-09-15
dc.date.accessioned2026-07-07T05:14:05Z
dc.date.available2026-07-07T05:14:05Z
dc.descriptionWe 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.
dc.description39 pages; We added a section where we prove that multiple HNN extensions of free groups having undecidable conjugacy problem cannot have Dehn functions smaller than n^2 log n; 9/14/05 - made changes suggested by the referee. The paper is accepted in GAFA
dc.identifierhttps://arxiv.org/abs/math/0411174
dc.identifierhttp://arxiv.org/abs/math/0411174
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73147
dc.subjectGroup Theory
dc.subjectGeometric Topology
dc.titleGroups with small Dehn functions and bipartite chord diagrams
dc.typetext

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