The essentially chief series of a compactly generated locally compact group

Title: The essentially chief series of a compactly generated locally compact group
Creator: Reid, Colin D.; Wesolek, Phillip R.
Relation: ARC.DP120100996 http://purl.org/au-research/grants/arc/DP120100996
Relation: Mathematische Annalen Vol. 370, Issue 1-2, p. 841-861
Publisher Link: http://dx.doi.org/10.1007/s00208-017-1597-0
Publisher: Springer
Resource Type: journal article
Date: 2018
Description: We first obtain finiteness properties for the collection of closed normal subgroups of a compactly generated locally compact group. Via these properties, every compactly generated locally compact group admits an essentially chief series – i.e. a finite normal series in which each factor is either compact, discrete, or a topological chief factor. A Jordan–Hölder theorem additionally holds for the ‘large’ factors in an essentially chief series.
Subject: compact groups; finiteness properties; Jordan–Hölder theorem; topology
Identifier: http://hdl.handle.net/1959.13/1442343
Identifier: uon:41659
Identifier: ISSN:0025-5831
Language: eng
Reviewed