Universal groups for point-sets and tilings

Details Universal groups for point-sets and tilings Universal groups for point-sets and tilings

2002-09-19

arxiv.org/abs/math/0209250v1

Mathematics

Group Theory

24 pages

Scientific paper

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.

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