- Title
- Locally normal subgroups and ends of locally compact Kac-Moody groups
- Creator
- Caprace, Pierre_Emmanuel; Marquis, Timothée; Reid, Colin D.
- Relation
- Münster Journal of Mathematics Vol. 15, p. 473-498
- Publisher Link
- http://dx.doi.org/10.17879/21089688074
- Publisher
- Westfaelische Wilhelms-Universitaet Muenster * Mathematisches Institut
- Resource Type
- journal article
- Date
- 2022
- Description
- A locally normal subgroup in a topological group is a subgroup whose normalizer is open. In this paper, we provide a detailed description of the large-scale structure of closed locally normal subgroups of complete Kac–Moody groups over finite fields. Combining that description with the main result from [7], we show that, under mild assumptions, if the Kac– Moody group is one-ended (a property that is easily determined from the generalized Cartan matrix), then it is locally indecomposable, which means that no open subgroup decomposes as a nontrivial direct product.
- Subject
- subgroups; Kac_moody groups; assumptions; locally indecomposable
- Identifier
- http://hdl.handle.net/1959.13/1491457
- Identifier
- uon:53102
- Identifier
- ISSN:1867-5778
- Language
- eng
- Reviewed
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