- Title
- Topologically simple, totally disconnected, locally compact infinite matrix groups
- Creator
- Groenhout, Peter; Reid, Colin D.; Willis, George A.
- Relation
- Journal of Lie Theory Vol. 30, Issue 4, p. 965-980
- Relation
- https://www.heldermann.de/JLT/JLT30/JLT304/jlt30047.htm
- Publisher
- Heldermann Verlag
- Resource Type
- journal article
- Date
- 2020
- Description
- We construct uncountably many non-locally isomorphic examples of topologically simple nondiscrete totally disconnected locally compact groups. The new examples differ from known examples of such groups in that they have trivial quasi-centre, but also have infinite abelian locally normal subgroups. The examples are constructed as almost upper-triangular matrices modulo scalar matrices over finite fields, where "almost upper-triangular" is defined with respect to one of an uncountable family of preorders generalising the natural orders on the set of integers and the set of natural numbers.
- Subject
- infinite matrix; finite field; locally compact group; topologically simple; quasi-centre
- Identifier
- http://hdl.handle.net/1959.13/1445880
- Identifier
- uon:42700
- Identifier
- ISSN:0949-5932
- Language
- eng
- Reviewed
- Hits: 1061
- Visitors: 1054
- Downloads: 0