- Title
- Contraction groups in complete Kac-Moody groups
- Creator
- Baumgartner, Udo; Ramagge, Jacqui; Rémy, Bertrand
- Relation
- Groups Geometry and Dynamics Vol. 2, Issue 3, p. 337-352
- Relation
- http://www.ems-ph.org/journals/show_abstract.php?issn=1661-7207&vol=2&iss=3&rank=2
- Publisher
- European Mathematical Society Publishing House
- Resource Type
- journal article
- Date
- 2008
- Description
- Let G be an abstract Kac–Moody group over a finite field and Ḡ the closure of the image of G in the automorphism group of its positive building. We show that if the Dynkin diagram associated to G is irreducible and neither of spherical nor of affine type, then the contraction groups of elements in G which are not topologically periodic are not closed. (In such groups there always exist elements that are not topologically periodic.)
- Subject
- contraction group; topological Kac-Moody group; totally disconnected; locally compact group
- Identifier
- uon:5376
- Identifier
- http://hdl.handle.net/1959.13/43255
- Identifier
- ISSN:1661-7207
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