Three-dimensional connected groups of automorphisms of toroidal circle planes (2018)
Abstract
We contribute to the classification of toroidal circle planes and flat Minkowski planes possessing three-dimensional connected groups of automorphisms. When such a group is an almost simple Lie group, we show that it is isomorphic to $\text{PSL}(2,\mathbb{R})$. Using this result, we describe a framework for the full classification based on the action of the group on the point set.
ANZSRC Fields of Research
49 - Mathematical sciences::4904 - Pure mathematics::490402 - Algebraic and differential geometryRelated items
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On automorphism groups of toroidal circle planes
Creutz B; Ho D; Steinke GF (2018)© 2018, Springer International Publishing AG, part of Springer Nature. 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 ... -
A family of 2-dimensional Minkowski planes with small automorphism groups
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