Invariant Meromorphic Functions on the Wallpaper Groups
Classical Analysis and ODEs
2016-08-22 v1 Complex Variables
Group Theory
Abstract
We construct the meromorphic functions invariant under the action of the sense-preserving wallpaper groups on the complex plane. We discuss possible generalisa-tions of this to the general wallpaper groups. This provides the answer to a question posed on StackExchange regarding the possible symmetries of elliptic functions.
Cite
@article{arxiv.1608.05677,
title = {Invariant Meromorphic Functions on the Wallpaper Groups},
author = {Richard Chapling},
journal= {arXiv preprint arXiv:1608.05677},
year = {2016}
}
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13 pages