Characterizations by Automorphism Groups of Some Rank 3 Buildings – IV: Hyperbolic p-adic Moufang Buildings of Rank 3 |
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Authors: | H Van Maldeghem K Van Steen |
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Institution: | (1) Department of Pure Mathematics and Computer Algebra, University of Ghent, Galglaan 2, 9000 Gent, Belgium |
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Abstract: | In this paper, we introduce the p-adic Moufang condition for hyperbolic buildings of rank 3. It is the most obvious and simplest generalization of the p-adic Moufang condition for affine buildings, introduced in Part III of this sequence of papers. We show that p is very restricted, which confirms (but does not prove) the conjecture that no p-adic analogue is possible for the construction of Moufang (hyperbolic) buildings by Ronan and Tits. |
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Keywords: | hyperbolic building p-adic building Moufang condition |
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