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Title:
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Contraction groups in complete Kac-Moody groups
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Author:
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Baumgartner, Udo; Ramagge, Jacqui; Rémy, Bertrand
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Other authors:
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Centre de Recerca Matemàtica |
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Resum:
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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 those groups there always exist elements which are not topologically periodic.) |
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Publication date:
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2007-06 |
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Subject (UDC):
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512 - Àlgebra |
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Subject(s):
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Grups, Teoria dels |
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Rights:
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Aquest document està subjecte a una llicència d'ús de Creative Commons, amb la qual es permet copiar, distribuir i comunicar públicament l'obra sempre que se'n citin l'autor original, la universitat i el centre i no se'n faci cap ús comercial ni obra derivada, tal com queda estipulat en la llicència d'ús (http://creativecommons.org/licenses/by-nc-nd/2.5/es/) |
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Document type:
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Preprint |
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