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arXiv · 1008.5134

Compact Totally Disconnected Moufang Buildings

Theo Grundhofer·Linus Kramer·Hendrik Van Maldeghem·Richard M. Weiss
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Abstract

Let $Δ$ be a spherical building each of whose irreducible components is infinite, has rank at least 2 and satisfies the Moufang condition. We show that $Δ$ can be given the structure of a topological building that is compact and totally disconnected precisely when $Δ$ is the building at infinity of a locally finite affine building.

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Theo Grundhofer, Linus Kramer, Hendrik Van Maldeghem, Richard M. Weiss. 2011-08-07. Compact Totally Disconnected Moufang Buildings. https://arxiv.org/abs/1008.5134

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