Journal Home Page Cumulative Index List of all Volumes Complete Contentsof this Volume Previous Article Journal of Lie Theory 20 (2010), No. 4, 689--708Copyright Heldermann Verlag 2010 Classification of 8-Dimensional Compact Projective Planes Helmut R. Salzmann Mathematisches Institut, Universität Tübingen, Auf der Morgenstelle 10, 72076 Tübingen, Germany helmut.salzmann@uni-tuebingen.de [Abstract-pdf] 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 [ Fulltext-pdf  (258  KB)] for subscribers only.