On automorphism groups of toroidal circle planes
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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.
The authors would like to thank the referee for the careful reading and helpful suggestions. The second author was supported by a UC Doctoral Scholarship.