Linear dilatation structures and inverse semigroups

Details Linear dilatation structures and inverse semigroups Linear dilatation structures and inverse semigroups

2007-05-28

arxiv.org/abs/0705.4009v3

Mathematics

Group Theory

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Scientific paper

Here we prove that for dilatation structures linearity (see
arXiv:0705.1440v1) is equivalent to a statement about the inverse semigroup
generated by the family of dilatations of the space.
The result is new for Carnot groups and the proof seems to be new even for
vector spaces.

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