
Journal of Lie Theory 24 (2014), No. 1, 123146 Copyright Heldermann Verlag 2014 8Dimensional Compact Planes with an Automorphism Group which has a Normal Vector Subgroup Helmut Salzmann Mathematisches Institut, Universität Tübingen, Auf der Morgenstelle 10, 72076 Tübingen, Germany helmut.salzmann@unituebingen.de A connected group Δ of automorphisms of an 8dimensional compact plane P fixes at most some collinear points or 2 points and 2 lines (double flag). For each possible configuration of fixed elements of a group of sufficiently large dimension the structure of Δ and its action on P is determined. Examples are given; in the case of a double flag, all planes are described explicitly. Keywords: Compact projective plane, Lie collineation group, elation, straight, dimension. MSC: 51H10 [ Fulltextpdf (394 KB)] for subscribers only. 