Journal Home Page

Cumulative Index

List of all Volumes

Complete Contents
of this Volume

Previous Article

Next Article
 


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
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.