Homogene kompakte projektive Ebenen

Helmut R. Salzmann

Vol. 60 (1975), No. 2, 217–234

DOI: 10.2140/pjm.1975.60.217

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 dim𝒫≦ 16 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