Groups with small Dehn functions and bipartite chord diagrams

2004/11/08 by Alexander Olshanskii, Olshanskii, Alexander, Mark Sapir +1 · 1 citation
Mathematics · #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR) #math.GR #math.GT

paper · pdf · doi:10.48550/arxiv.math/0411174

39 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

arxiv created 2005/09/15 · arxiv updated 2009/12/01

Abstract

We introduce a new invariant of bipartite chord diagrams and use it to construct the first examples of groups with Dehn function n²log n and other small Dehn functions. Some of these groups have undecidable conjugacy problem.

Cited by

• The geometry of subgroups of mapping tori of free groups

Related

• Conjugacy problem in groups with quadratic Dehn function
• Finitely presented simple groups with at least exponential Dehn function
• Groups with quadratic-non-quadratic Dehn functions
• Distinguishing Filling Invariants Associated to Conjugacy in Groups
• Identifying Dehn Functions of Bestvina--Brady Groups From Their Defining Graphs