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arXiv · 1602.04417

The scale function and lattices

George A. Willis
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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.

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George A. Willis. 2016-02-14. The scale function and lattices. https://arxiv.org/abs/1602.04417

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