Universität Stuttgart

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Open Access
Stable planes
(1994) Stroppel, Markus
Stable planes are a special kind of topological linear spaces. In particular, there is a 'planarity condition' that excludes spaces of geometrical dimension greater than 2. Embeddability problems are posed and answered, and an outline of the classification program is given.
Open Access
Locally compact Hughes planes
(1994) Stroppel, Markus
Among the eight-dimensional stable planes, the compact connected generalized Hughes planes and the geometries induced on the outer points are characterized by the property that these planes admit an effective action of the group SL3C.
Open Access
Slanted symplectic quadrangles
(1994) Grundhöfer, Theo; Joswig, Michael; Stroppel, Markus
By "slanting" symplectic quadrangles W(F) over fields F, we obtain very simple examples of non-classical generalized quadrangles. We determine the collineation groups of these slanted quadrangles and their groups of projectivities. No slanted quadrangle is a topological quadrangle.
Open Access
Compact groups of automorphisms of stable planes
(1994) Stroppel, Markus
It is shown that compact groups of automorphisms of stable planes are either elliptic motion groups, acting in the usual way, or their dimension is bounded by the dimension of a point stabilizer in the elliptic motion group. Examples show that this bound is sharp.