Divergence of Thompson groups
Gili Golan, Mark Sapir
TL;DR
This paper proves that the R. Thompson groups F, T, and V exhibit linear divergence functions, indicating specific geometric properties of these groups.
Contribution
It establishes the linear divergence of Thompson groups, a novel geometric insight into their large-scale structure.
Findings
Thompson groups F, T, V have linear divergence functions
Provides new geometric understanding of Thompson groups
Implications for the groups' large-scale geometry
Abstract
We prove that R. Thompson groups F, T, V have linear divergence functions.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Advanced Operator Algebra Research