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arXiv · 2012.13661

On the growth of the wallpaper groups

Rostislav Grigorchuk·Cosmas Kravaris
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Abstract

We develop further Cannon's method of cone types for finding the growth function of a group, which can also be used to find the coordination sequences of certain infinite graphs. We then apply this method to compute the growth functions and series of the wallpaper groups (the 2 dimensional crystallographic groups). The paper has a number of illustrating colored figures and tables summarizing the results.

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Rostislav Grigorchuk, Cosmas Kravaris. 2020-12-26. On the growth of the wallpaper groups. https://arxiv.org/abs/2012.13661

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