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arXiv · 1509.06593

The essentially chief series of a compactly generated locally compact group

Colin D. Reid·Phillip R. Wesolek
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Abstract

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 compact, discrete, or a topological chief factor. Additionally, a Jordan-H\"{o}lder theorem holds for the `large' factors in an essentially chief series.

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Colin D. Reid, Phillip R. Wesolek. 2015-09-22. The essentially chief series of a compactly generated locally compact group. https://arxiv.org/abs/1509.06593

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