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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 in [12]. 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.
Received: 1998-03-20
Accepted: 1998-11-13
Published Online: 2008-06-12
Published in Print: 1999-06-25
© Walter de Gruyter
