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/1959.13/1442337
Identifier: uon:41660
Identifier: ISSN:0025-5831
Rights: This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s00208-017-1597-0.
Language: eng
Full Text
Reviewed

		Thumbnail	File	Description	Size	Format
View Details Download			ATTACHMENT02	Author final version	463 KB	Adobe Acrobat PDF	View Details Download