Mathematics – Group Theory
Scientific paper
2002-05-04
Mathematics
Group Theory
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".
Rémy Bertrand
Ronan Mark
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