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arXiv · 1608.05677

Invariant Meromorphic Functions on the Wallpaper Groups

Richard Chapling
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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.

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Richard Chapling. 2016-08-19. Invariant Meromorphic Functions on the Wallpaper Groups. https://arxiv.org/abs/1608.05677

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