On automorphism groups of toroidal circle planes

On automorphism groups of toroidal circle planes

Schenkel proved that the automorphism group of a flat Minkowski plane is a Lie group of dimension at most 6 and described planes whose automorphism group has dimension at least 4 or one of whose kernels has dimension 3. We extend these results to the case of toroidal circle planes.

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Veröffentlicht in:Journal of geometry 2018-04, Vol.109 (1), p.1-13, Article 15
Hauptverfasser: Creutz, Brendan, Ho, Duy, Steinke, Günter F.
Format: Artikel
Sprache:eng
Schlagworte:
Automorphisms
Geometry
Lie groups
Mathematics
Mathematics and Statistics
Planes
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Beschreibung
Zusammenfassung:Schenkel proved that the automorphism group of a flat Minkowski plane is a Lie group of dimension at most 6 and described planes whose automorphism group has dimension at least 4 or one of whose kernels has dimension 3. We extend these results to the case of toroidal circle planes.
ISSN:0047-2468
1420-8997
DOI:10.1007/s00022-018-0420-8