Flat Laguerre planes of Kleinewillinghöfer type III.B-Reference-Cited by-同舟云学术

Flat Laguerre planes of Kleinewillinghöfer type III.B

Published:2011-08-28 Issue:4 Volume:11 Page:637-652
ISSN:1615-7168
Container-title:advg
language:en
Short-container-title:

Author:

Schillewaert Jeroen¹,Steinke Günter F.¹

Affiliation:

1. Department of Mathematics and Statistics, University of Canterbury, Private Bag 4800, Christchurch 8140, New Zealand

Abstract

Abstract Kleinewillinghöfer classified Laguerre planes with respect to central automorphisms. Polster and Steinke investigated flat Laguerre planes and their so-called Kleinewillinghöfer types, that is, the Kleinewillinghöfer types with respect to the full automorphism group. For some of these types the existence question remained open. We provide strong necessary existence conditions for flat Laguerre planes of Kleinewillinghöfer type III.B and provide examples of such planes of types III.B.1 and III.B.3.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology

Link

https://www.degruyter.com/document/doi/10.1515/advgeom.2011.038/pdf

Reference16 articles.

1. Topologische Laguerreebenen 1

2. Characterization of ovoidal Laguerre planes

3. Topologische Laguerreebenen II

4. Transitivitätssätze für Laguerre-Ebenen

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