- 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
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