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Journal of Lie Theory 20 (2010), No. 4, 689--708
Copyright Heldermann Verlag 2010

Classification of 8-Dimensional Compact Projective Planes

Helmut R. Salzmann
Mathematisches Institut, Universität Tübingen, Auf der Morgenstelle 10, 72076 Tübingen, Germany


Let $\cal P$ be a compact, $8$-dimensional projective plane and $\Delta$ a connected closed subgroup of Aut$\,{\cal P}$. If $\Delta$ is semi-simple or has a normal torus subgroup, and if $\dim\Delta > 13$, then $\cal P$ is a Hughes plane.

Keywords: Compact projective planes, Lie collineation group, Hughes plane, Baer subplane.

MSC: 51H10

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