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arxiv: 1008.5134 · v5 · pith:3HDWCTRZnew · submitted 2010-08-30 · 🧮 math.GR · math.MG

Compact Totally Disconnected Moufang Buildings

classification 🧮 math.GR math.MG
keywords buildingdeltacompactdisconnectedmoufangtotallyaffinebuildings
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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.

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