A characterization of two classes of locally truncated diagram geometries

Mathematics – Group Theory

Scientific paper

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27 pages

Scientific paper

We study locally truncated geometries that are parapolar spaces locally of
type A_{n-1,j}(K) with n>6 and j=3,4. Residually connected sheaves over these
geometries are constructed. It is proved that these geometries are residually
connected diagram geometries whose universal 2-covers are truncations of
buildings.

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