论文标题

关于壁纸组的成长

On the growth of the wallpaper groups

论文作者

Grigorchuk, Rostislav, Kravaris, Cosmas

论文摘要

我们开发了进一步的Cannon的锥类型方法,用于查找一组的生长函数,该方法也可以用于查找某些无限图的配位序列。然后,我们将此方法应用于计算壁纸组的生长函数和系列(2维晶体学组)。该论文有许多说明的彩色图形和表格,总结了结果。

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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