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Nearly flag-transitive affine planes
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William M. Kantor
Published/Copyright:
February 1, 2010
Abstract
Spreads of orthogonal vector spaces are used to construct many translation planes of even order qm, for odd m > 1, having a collineation with a (qm – 1)-cycle on the line at infinity and on each of two affine lines.
Received: 2009-01-30
Published Online: 2010-02-01
Published in Print: 2010-January
© de Gruyter 2010
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Articles in the same Issue
- Secant dimensions of low-dimensional homogeneous varieties
- Peano differentiable extensions in o-minimal structures
- Global properties of codimension two spacelike submanifolds in Minkowski space
- Local recognition of the line graph of an anisotropic vector space
- Bicanonical map of surfaces with χ = 1 fibered by hyperelliptic curves of genus 3
- O(p + 1) × O(q + 1)-invariant (r – 1)-minimal hypersurfaces in Euclidean space
- Positivity in power series rings
- Scrolls over four dimensional varieties
- Nearly flag-transitive affine planes
Keywords for this article
Affine plane;
translation plane;
spread;
flag;
symplectic geometry;
orthogonal geometry
Articles in the same Issue
- Secant dimensions of low-dimensional homogeneous varieties
- Peano differentiable extensions in o-minimal structures
- Global properties of codimension two spacelike submanifolds in Minkowski space
- Local recognition of the line graph of an anisotropic vector space
- Bicanonical map of surfaces with χ = 1 fibered by hyperelliptic curves of genus 3
- O(p + 1) × O(q + 1)-invariant (r – 1)-minimal hypersurfaces in Euclidean space
- Positivity in power series rings
- Scrolls over four dimensional varieties
- Nearly flag-transitive affine planes
