Vol. 60, No. 2, 1975

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Homogene kompakte projektive Ebenen

Helmut R. Salzmann

Vol. 60 (1975), No. 2, 217–234
Abstract

For a compact connected topological projective plane 𝒫, the following is shown: In the compact-open topology, the automorphism group Σ of 𝒫 is a locally compact transformation group with countable basis. If Σ is transitive on incident point-line pairs, or if dim𝒫16 and Σ is point transitive, then 𝒫 is isomorphic to one of the four classical planes over an associative or alternative division ring.

Mathematical Subject Classification
Primary: 50D35
Milestones
Received: 25 January 1974
Published: 1 October 1975
Authors
Helmut R. Salzmann