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A classification of 4-dimensional elation Laguerre planes of group dimension 10
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Günter F Steinke
Published/Copyright:
August 10, 2006
Abstract
We investigate 4-dimensional (topological locally compact connected) elation Laguerre planes that admit solvable automorphism groups and show that there is, up to isomorphism, precisely one such plane of group dimension 10. This result completes the classification of all 4-dimensional elation Laguerre planes of group dimension 10.
Received: 2004-05-12
Published Online: 2006-08-10
Published in Print: 2006-07-01
© Walter de Gruyter
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- A classification of 4-dimensional elation Laguerre planes of group dimension 10
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Articles in the same Issue
- On the surjectivity of the canonical Gaussian map for multiple coverings
- A classification of 4-dimensional elation Laguerre planes of group dimension 10
- Completely regular ovals
- Symmetry and the farthest point mapping on convex surfaces
- Certain Roman and flock generalized quadrangles have nonisomorphic elation groups
- Similarity structures on the torus and the Klein bottle via triangulations
- On Euclidean designs
- Carnot spaces and the k-stein condition
- Simplicity of the universal quotient bundle restricted to congruences of lines in ℙ3
- Entropy of the geodesic flow for metric spaces and Bruhat–Tits buildings
