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

2005/04/18 by Helge Glöckner, Helge Glockner, Glockner, Helge
Mathematics · #22D05 (Primary) 22D45 #22E20 #22E35 (Secondary) #Advanced Algebra and Geometry #Advanced Topology and Set Theory #FOS: Mathematics #Group Theory (math.GR) #advanced mathematical theories #math.GR #msc:22D05 #msc:22D45 #msc:22E20 #msc:22E35

paper · pdf · doi:10.48550/arxiv.math/0504354

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

openalex publication_date 2005/04/18 · arxiv created 2005/09/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Related

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