3
$\begingroup$

Let $\mathcal{A}$ be an axiomatic affine plane. First let $\mathcal{A}$ be finite.

Suppose that the automorphism group of $\mathcal{A}$ acts transitively on nonincident point-line pairs (that is, on the anti-flags).

Are such planes classified ? Are there examples known besides Desarguesian affine planes ?

Is anything even known when the affine planes are not finite ?

Improve this question
$\endgroup$
1
  • $\begingroup$ It seems that such affine plane are just affine subplanes of Moufang projective planes. $\endgroup$
    – Taras Banakh
    Commented Mar 16 at 6:56

0

Reset to default

You must log in to answer this question.