Contraction groups in complete Kac-Moody groups
Group Theory
2012-10-04 v1
Abstract
Let be an abstract Kac-Moody group over a finite field and be the closure of the image of in the automorphism group of its positive building. We show that if the Dynkin diagram associated to is irreducible and neither of spherical nor of affine type, then the contraction groups of elements in which are not topologically periodic are not closed. (In those groups there always exist elements which are not topologically periodic.)
Cite
@article{arxiv.0706.2713,
title = {Contraction groups in complete Kac-Moody groups},
author = {Udo Baumgartner and Jacqui Ramagge and Bertrand Remy},
journal= {arXiv preprint arXiv:0706.2713},
year = {2012}
}