On the structure of the automorphism group of 2-dimensional Laguerre planes

✍ Scribed by Günter F. Steinke

• Publisher: Springer
• Year: 1990
• Tongue: English
• Weight: 857 KB
• Volume: 36
• Category: Article
• ISSN: 0046-5755
• DOI: 10.1007/bf00150803

✦ Synopsis

Dedicated to Professor H. Salzmann on the occasion of his 60th birthday'

ABSTRACT. In this note we consider 2-dimensional Laguerre planes and prove structure theorems on their automorphism group F. In particular, we look at connected locally simple Lie subgroups of F and the factor group 12/A of a connected closed subgroup 12 of Y over the kernel A of the action of I2 on the set of parallel classes. The informations obtained will be useful in the later classification of 2-dimensional Laguerre planes having a 4-dimensional automorphism group.