Locally split and locally finite twin buildings of 2-spherical type
by Bernhard Mühlherr
Abstract:
We prove a fixed point theorem for twin buildings of arbitrary
rank. This theorem is then used to construct certain twin buildings
whose existence was conjectured by J. Tits. As a consequence we obtain
a classification of twin buildings whose rank 2 residues correspond to
split algebraic groups over a field of cardinality at least 4. A
similar result follows for twin buildings whose rank 2 residues are finite.
Key words and phrases:
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1991 Mathematics Subject Classification: 51E24 .
To appear in: Journal für die reine und angewandte Mathematik
Contact: Bernhard.Muehlherr@Mathematik.Uni-Dortmund.DE