Monatshefte für Mathematik

, Volume 144, Issue 4, pp 317–328 | Cite as

Polarities of Compact Eight-Dimensional Planes

  • Markus Stroppel


The polarities of eight-dimensional compact planes with at least 17-dimensional group of automorphisms are determined. We show that, among these planes, the quaternion plane is the only one admitting more than two conjugacy classes of polarities.

2000 Mathematics Subject Classifications: 51H10, 51A10, 51A40, 51H20 
Key words: Polarity, translation plane, locally compact translation plane, Hughes plane 


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Copyright information

© Springer-Verlag/Wien 2004

Authors and Affiliations

  • Markus Stroppel
    • 1
  1. 1.Universität StuttgartGermany

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