Maximal compact normal subgroups

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

The main concern is the existence of a maximal compact normal subgroup K in a locally compact group G, and whether or not G/K is a Lie group. G has a maximal compact subgroup if and only if G/G0 has. Maximal compact subgroups of totally disconnected groups are open. If the bounded part of G is compactly generated, then G has a maximal compact normal subgroup K and if B(G) is open, then G/K is Lie. Generalized FCgroups, compactly generated type I IN-groups, and Moore groups share the same properties.

Original languageEnglish
Pages (from-to)389-394
Number of pages6
JournalProceedings of the American Mathematical Society
Volume99
Issue number2
DOIs
StatePublished - Feb 1987

Fingerprint

Dive into the research topics of 'Maximal compact normal subgroups'. Together they form a unique fingerprint.

Cite this