Results in Mathematics

, Volume 38, Issue 1–2, pp 72–87

Compact connected translation generalized quadrangles

Article

Abstract

We prove that the topological kernel of a compact connected translation generalized quadrangle is topologically isomorphic to ℝ or ℂ. Moreover, it turns out that the unique orthogonal quadrangle over ℂ is the only compact connected translation generalized quadrangle whose topological kernel is isomorphic to ℂ.

AMS Subject Classification (1991)

51H10 (51E12) 

Key Words

topological incidence geometry generalized quadrangles 

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Copyright information

© Birkhäuser Verlag, Basel 2000

Authors and Affiliations

  1. 1.Fachbereich Mathematik, Sekr. 7-1Technische Universität BerlinBerlinGermany

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