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A residual skewaffine plane of a Mobius or Minkowski plane

Matraś A.

Demonstratio Mathematica

2007

Vol. 40, nr 4

913-924

For Mobius and Minkowski planes of characteristic different from 2 a residual skewaffine piane associated with any point p is constructed. Following the construction given by Andre (cf. [1]) we obtain the residual piane as the group space of some normally transitive group of automorphisms fixing p. This is a skewaffine piane without straight lines in the Mobius case and with two families of straight lines in the Minkowski case.