The scale function and lattices
Group Theory
2016-02-16 v1
Abstract
It is shown that, given a lattice H in a totally disconnected, locally compact group G, the contraction subgroups in G and the values of the scale function on G are determined by their restrictions to H. Group theoretic properties intrinsic to the lattice, such as being periodic or infinitely divisible, are then seen to imply corresponding properties of G.
Cite
@article{arxiv.1602.04417,
title = {The scale function and lattices},
author = {George A. Willis},
journal= {arXiv preprint arXiv:1602.04417},
year = {2016}
}