Non-classical 4-dimensional Minkowski planes obtained as brothers of semiclassical 4-dimensional Laguerre planes
We describe the first non-classical 4-dimensional Minkowski planes and show that they have 6-dimensional automorphism groups. These planes are obtained by a construction of Schroth  from generalized quadrangles associated with the semiclassical 4-dimensional Laguerre planes. All 4-dimensional Minkowski planes that can be obtained in this way from the semiclassical 4-dimensional Laguerre planes are determined.
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