English

Planar Baumslag-Solitar actions

Dynamical Systems 2022-03-21 v2

Abstract

Following previous work, where representations of BS(1,n)BS(1,n) by planar orientation preserving homeomorphisms with linear diagonalizable conjugating element was studied, we consider the elliptic and parabolic cases. As an application, we prove that there are no faithful representations of BS(1,n)BS(1,n) by toral homeomorphisms with conjugating element the Dehn twist map.

Cite

@article{arxiv.1707.05675,
  title  = {Planar Baumslag-Solitar actions},
  author = {Juan Alonso and Cristobal Rivas and Juliana Xavier},
  journal= {arXiv preprint arXiv:1707.05675},
  year   = {2022}
}

Comments

The contents of this paper appear now in the new version of "On some planar Baumslag-Solitar actions" 1703.09102

R2 v1 2026-06-22T20:50:28.006Z