- 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
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