English

The divergence of the special linear group over a function ring

Group Theory 2014-04-15 v2

Abstract

We compute the divergence of the finitely generated group SLn(O_S), where S is a finite set of valuations of a function field, and O_S is the corresponding ring of S-integer points. As an application, we deduce that all its asymptotic cones are without cut-points.

Keywords

Cite

@article{arxiv.1302.5575,
  title  = {The divergence of the special linear group over a function ring},
  author = {Adrien Le Boudec},
  journal= {arXiv preprint arXiv:1302.5575},
  year   = {2014}
}

Comments

The argument in section 4 has been modified

R2 v1 2026-06-21T23:30:52.359Z