Universal groups for point-sets and tilings
群论
2007-05-23 v1 数学物理
交换代数
math.MP
摘要
We study the universal groups of inverse semigroups associated with point sets and with tilings. We focus our attention on two classes of examples. The first class consists of point sets which are obtained by a cut and projection scheme (so-called model sets). Here we introduce another inverse semigroup which is given in terms of the defining data of the projection scheme and related to the model set by the empire congruence. The second class is given by one-dimensional tilings.
引用
@article{arxiv.math/0209250,
title = {Universal groups for point-sets and tilings},
author = {Johannes Kellendonk and Mark V Lawson},
journal= {arXiv preprint arXiv:math/0209250},
year = {2007}
}
备注
24 pages