English

Closed and transitive transformation groups of a surface

Geometric Topology 2015-03-04 v1

Abstract

The purpose of this paper is to survey the structure of closed and transitive transformation groups acting on a closed surface. In particular, we prove a number of relations between groups acting on the sphere that contain the rotation group, together with a diagram of how these groups are connected. In addition, we describe transformation groups acting on the torus and higher genus surfaces.

Keywords

Cite

@article{arxiv.1502.04111,
  title  = {Closed and transitive transformation groups of a surface},
  author = {Ferry Kwakkel},
  journal= {arXiv preprint arXiv:1502.04111},
  year   = {2015}
}

Comments

This preprint is the author's version of arXiv:1309.0179, with which it has substantial text overlap. That work was jointly authored with Fabio Tal, who no longer wishes to be included as an author

R2 v1 2026-06-22T08:29:22.885Z