LOCALLY NORMAL SUBGROUPS OF TOTALLY DISCONNECTED GROUPS. PART I: GENERAL THEORY

DOI10.1017/fms.2017.9zbMath1379.22002arXiv1304.5144OpenAlexW1566798582MaRDI QIDQ5280249

Colin D. Reid, Pierre-Emmanuel Caprace, George A. Willis

Publication date: 20 July 2017

Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.5144

zbMATH Keywords

fifth Hilbert problemstructure latticegenerally nondiscrete totally disconnected locally compact (t.d.l.c.) groupsStone spaces of those Boolean algebras

Mathematics Subject Classification ID

Chains and lattices of subgroups, subnormal subgroups (20E15) General properties and structure of locally compact groups (22D05)

Related Items (11)

LOCALLY NORMAL SUBGROUPS OF TOTALLY DISCONNECTED GROUPS. PART II: COMPACTLY GENERATED SIMPLE GROUPS ⋮ Non-discrete simple locally compact groups ⋮ Locally normal subgroups of simple locally compact groups ⋮ A totally disconnected invitation to locally compact groups ⋮ Totally disconnected locally compact groups locally of finite rank ⋮ Commensurated subgroups and micro-supported actions (with an appendix by Dominik Francoeur) ⋮ Distal actions on coset spaces in totally disconnected locally compact groups ⋮ Prime localizations of Burger-Mozes-type groups ⋮ DECOMPOSITION THEOREMS FOR AUTOMORPHISM GROUPS OF TREES ⋮ Coloured Neretin groups ⋮ On infinite, cubic, vertex-transitive graphs with applications to totally disconnected, locally compact groups

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