Topological groups of Kac-Moody type, Fuchsian twinnings and their lattices

Mathematics – Group Theory

Scientific paper

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33 pages, 3 figures

Scientific paper

This paper deals with a class of totally disconnected groups acting on buildings, among which are certain Kac-Moody groups. The apartments of our buildings are hyperbolic planes tiled by right-angled polygons. We discuss linearity properties for the groups, as well as an analogy with semisimple groups over local fields of positive characteristic. Looking for counter-examples to this analogy leads to the construction of Moufang twinnings "with several ground fields".

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