Geodesic
Contraction groups in complete Kac–Moody groups
Udo Baumgartner1 ; Jacqui Ramagge2 ; Bertrand Rémy3 orcid
1University of Wollongong, Australia
2University of Sydney, Australia
3Université Claude Bernard Lyon 1, Villeurbanne, France
Groups, geometry, and dynamics, Tome 2 (2008) no. 3, pp. 337-352

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DOI

Let G be an abstract Kac–Moody group over a finite field and G 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.)
DOI : 10.4171/ggd/43
Classification : 22-XX, 20-XX, 00-XX
Mots-clés : Contraction group, topological Kac–Moody group, totally disconnected, locally compact group

Udo Baumgartner  1   ; Jacqui Ramagge  2   ; Bertrand Rémy  3

1 University of Wollongong, Australia
2 University of Sydney, Australia
3 Université Claude Bernard Lyon 1, Villeurbanne, France 
Udo Baumgartner; Jacqui Ramagge; Bertrand Rémy. Contraction groups in complete Kac–Moody groups. Groups, geometry, and dynamics, Tome 2 (2008) no. 3, pp. 337-352. doi: 10.4171/ggd/43
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     journal = {Groups, geometry, and dynamics},
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     year = {2008},
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     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/43/}
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