On the automorphism groups of certain branched structures on surfaces
Geometric Topology
2022-07-27 v1 Group Theory
Abstract
We consider translation surfaces with poles on surfaces. We shall prove that any finite group appears as the automorphism group of some translation surface with poles. As a direct consequence we obtain the existence of structures achieving the maximal possible number of automorphisms allowed by their genus and we finally extend the same results to branched projective structures.
Keywords
Cite
@article{arxiv.2207.12861,
title = {On the automorphism groups of certain branched structures on surfaces},
author = {Gianluca Faraco},
journal= {arXiv preprint arXiv:2207.12861},
year = {2022}
}
Comments
13 pages. No figure. Comments are welcome!