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Contraction groups in complete Kac-Moody groups

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posted on 2024-11-14, 01:42 authored by Udo Baumgartner, Jacqueline RamaggeJacqueline Ramagge, Bertrand Remy
Let G be an abstract Kac-Moody group over a finite field and overlineG 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 overline G which are not topologically periodic are not closed. (In those groups there always exist elements which are not topologically periodic.)

History

Citation

Baumgartner, U., Ramagge, J. & Remy, B. (2008). Contraction groups in complete Kac-Moody groups. Groups, Geometry, and Dynamics, 2 (3), 337-352.

Journal title

GROUPS GEOMETRY AND DYNAMICS

Volume

2

Issue

3

Pagination

337-352

Language

English

RIS ID

23854

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