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Title of Journal: J Geom

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Abbravation: Journal of Geometry

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SP Birkhäuser Verlag Basel

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DOI

10.1007/s001010050496

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1420-8997

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Linearly small elation quadrangles

Authors: Norbert Knarr Antje Rothmund Markus Stroppel
Publish Date: 2009/12/11
Volume: 95, Issue: 1-2, Pages: 49-67
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Abstract

We show that each elation generalized quadrangle with parameters p p where p is a prime is isomorphic to the symplectic quadrangle Wp or its dual Q4 p Our results cover the more general case of linearly small elation generalized quadrangles In particular we obtain a characterization of the symplectic quadrangle over the field of complex numbers among compact connected quadrangles We prove that every root elation quadrangle Q c H F is a skew translation quadrangle

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Other Papers In This Journal:
  1. A New Class of Translation Planes Constructed by Hyper-regulus Replacement
  2. Propellers in Affine Cayley–Klein Planes
  3. On semi-parallel lightlike hypersurfaces of indefinite Kenmotsu manifolds
  4. Deformation of minimal surfaces with planar curvature lines
  5. Rakić duality principle in the almost Hermitian geometry
  6. On compact semisimple Lie groups as 2-plectic manifolds
  7. An axiomatic look at the Erdős-Trost problem
  8. An Obata type result for the first eigenvalue of the sub-Laplacian on a CR manifold with a divergence-free torsion
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