Locally compact groups built up from p-adic Lie groups, for p in a given set of primes

Details Locally compact groups built up from p-adic Lie groups, for p in a given set of primes Locally compact groups built up from p-adic Lie groups, for p in a given set of primes

2005-04-18

arxiv.org/abs/math/0504354v2

Mathematics

Group Theory

25 pages, LaTeX; v2: A counterexample has been added which shows that (as desired) the two construction principles yield diffe

Scientific paper

We analyze the structure of locally compact groups which can be built up from
p-adic Lie groups, for p in a given set of primes. In particular, we calculate
the scale function and determine tidy subgroups for such groups, and use them
to recover the primes needed to build up the group.

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