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

DOI10.1515/JGT.2006.028zbMath1162.22002arXivmath/0504354OpenAlexW2090424713MaRDI QIDQ5480604

Helge Glöckner

Publication date: 3 August 2006

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0504354

Mathematics Subject Classification ID

General properties and structure of locally compact groups (22D05) General properties and structure of other Lie groups (22E20)

Related Items (8)

CAYLEY–ABELS GRAPHS AND INVARIANTS OF TOTALLY DISCONNECTED, LOCALLY COMPACT GROUPS ⋮ Contraction groups and passage to subgroups and quotients for endomorphisms of totally disconnected locally compact groups ⋮ Compact open subgroups in simple totally disconnected groups ⋮ Topological full groups and t.d.l.c. completions of Thompson's \(V\) ⋮ DECOMPOSITION THEOREMS FOR AUTOMORPHISM GROUPS OF TREES ⋮ Expansive automorphisms of totally disconnected, locally compact groups ⋮ Scales for co-compact embeddings of virtually free groups ⋮ Classification of the simple factors appearing in composition series of totally disconnected contraction groups

Cites Work

• The Mautner phenomenon for p-adic Lie groups
• Scale functions on \(p\)-adic Lie groups
• The structure of totally disconnected, locally compact groups
• Smooth Lie groups over local fields of positive characteristic need not be analytic
• Contraction groups and scales of automorphisms of totally disconnected locally compact groups
• Locally compact groups, residual Lie groups, and varieties generated by Lie groups
• Uniscalar p-adic Lie groups
• Scale functions and tree ends
• The Number of Prime Factors of the Scale Function on a Compactly Generated Group is Finite
• Strange permutation representations of free groups
• Generating varieties of topological groups
• CONTRACTION GROUPS FOR TIDY AUTOMORPHISMS OF TOTALLY DISCONNECTED GROUPS
• Further properties of the scale function on a totally disconnected group

This page was built for publication: Locally compact groups built up from p-adic Lie groups, for p in a given set of primes