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arXiv:1602.04417 [math.GR]AbstractReferencesReviewsResources

The scale function and lattices

George A. Willis

Published 2016-02-14Version 1

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.

Categories: math.GR
Subjects: 22D05
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