Divergence function of the braided Thompson group

Abstract

We prove that the braided Thompson group $BV$ has a linear divergence function. By the work of Druţu, Mozes, and Sapir, this leads none of asymptotic cones of $BV$ has a cut-point.

36 pages, 24 figures

References in corpus (3)

• The Algebra of Strand Splitting. I. A Braided Version of Thompson's Group V
• The Algebra of Strand Splitting. II. A Presentation for the Braid Group on One Strand
• The braided Thompson's groups are of type $F_{\infty }$

Cited by in corpus (1)

• Divergence functions of higher-dimensional Thompson's groups