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On 4-dimensional elation Laguerre planes admitting simple Lie groups of automorphisms

  • Günter F Steinke
Published/Copyright: March 11, 2008
Forum Mathematicum
From the journal Volume 11 Issue 1

Abstract

This paper concerns 4-dimensional (topological locally compact connected) elation Laguerre planes that admit large automorphism groups. In particular, it is shown that such a plane is classical if its automorphism group is at least 11-dimensional. Furthermore, the elation Laguerre planes admitting simple Lie groups of automorphisms are investigated and various characterizations of the classical complex Laguerre plane and the semi-classical Laguerre planes are obtained.

(Communicated by Karl Strambach)

Received: 1997-06-23
Published Online: 2008-03-11
Published in Print: 1999-02-15

© Walter de Gruyter

Articles in the same Issue

  1. Some remarks on linear structures in right distributive domains
  2. Distances between Banach spaces
  3. p-Extensions of free pro-p groups
  4. On the Brill-Noether problem for vector bundles
  5. On 4-dimensional elation Laguerre planes admitting simple Lie groups of automorphisms
  6. Geometric asymptotics and the logarithmic Sobolev inequality
  7. Contents
  8. Some remarks on linear structures in right distributive domains
  9. Distances between Banach spaces
  10. p-Extensions of free pro-p groups
  11. On the Brill - Noether problem for vector bundles
  12. On 4-dimensional elation Laguerre planes admitting simple Lie groups of automorphisms
  13. Geometric asymptotics and the logarithmic Sobolev inequality
  14. Instructions to Authors
  15. Editors
https://doi.org/10.1515/form.11.1.79

Articles in the same Issue

  1. Some remarks on linear structures in right distributive domains
  2. Distances between Banach spaces
  3. p-Extensions of free pro-p groups
  4. On the Brill-Noether problem for vector bundles
  5. On 4-dimensional elation Laguerre planes admitting simple Lie groups of automorphisms
  6. Geometric asymptotics and the logarithmic Sobolev inequality
  7. Contents
  8. Some remarks on linear structures in right distributive domains
  9. Distances between Banach spaces
  10. p-Extensions of free pro-p groups
  11. On the Brill - Noether problem for vector bundles
  12. On 4-dimensional elation Laguerre planes admitting simple Lie groups of automorphisms
  13. Geometric asymptotics and the logarithmic Sobolev inequality
  14. Instructions to Authors
  15. Editors
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