Tohoku Mathematical Journal
2012
September
SECOND SERIES VOL. 64, NO. 3

Tohoku Math. J.
64 (2012), 333-360

Title COMPACT TOTALLY DISCONNECTED MOUFANG BUILDINGS

Author Theo Grundhöfer, Linus Kramer, Hendrik Van Maldeghem and Richard M. Weiss

(Received December 22, 2010, revised May 6, 2011)
Abstract. Let $\Delta$ be a spherical building each of whose irreducible components is infinite, has rank at least 2 and satisfies the Moufang condition. We show that $\Delta$ can be given the structure of a topological building that is compact and totally disconnected precisely when $\Delta$ is the building at infinity of a locally finite affine building.

2000 Mathematics Subject Classification. Primary 20E42; Secondary 20G25, 22F50, 51H99.
Key words and phrases. Moufang property, compact building, locally compact group.

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