Contraction groups in complete Kac-Moody groups

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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