In this talk we study different notions of entropy for Delone
sets. For Delone sets of finite local complexity (FLC) in the euclidean
space it is well known that the patch counting entropy equals the
topological entropy of an associated shift system. It was suggested by
J. Lagarias for FLC Delone sets in the euclidean space that the patch
counting entropy can always be computed as a limit. We discuss why
standard subadditivity arguments can not directly be used in order to
see this claim. We present how the correspondence between the
topological and the patch counting entropy can be used in order to show
that the limit in the patch counting entropy formula exists for
compactly generated LCA groups. We will also discuss that the matter
becomes more complicated, whenever one considers general LCA groups.