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Characterizations by Automorphism Groups of Some Rank 3 Buildings — II: A Half Strongly-Transitive Locally Finite Triangle Building is a Bruhat—Tits Building

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Abstract

We complete the proof of the fact that every locally finite triangle building Δ with a half strongly-transitive automorphism group G (e.g., this happens when Δ is defined via a (B, N)-pair in G) is a Bruhat—Tits building associated with a classical linear group over a locally finite local skewfield.

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  1. Department of Pure Mathematics and Computer Algebra, University of Ghent, Galglaan 2, 9000, Gent, Belgium

    H. van Maldegem & K. van Steen

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  1. H. van Maldegem
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  2. K. van Steen
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van Maldegem, H., van Steen, K. Characterizations by Automorphism Groups of Some Rank 3 Buildings — II: A Half Strongly-Transitive Locally Finite Triangle Building is a Bruhat—Tits Building. Geometriae Dedicata 74, 113–134 (1999). https://doi.org/10.1023/A:1005057231781

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