\(\omega\)-stable trigonometries on a projective plane (Q1876416)

Using the well-known Hrushovski construction, the author proves that, for every countable group \(G\), there exists an \(\omega\)-stable trigonometry of the group \(G*F_\omega\), where \(F_\omega\) is the free group of countable rank, on a non-Desarguesian projective plane. He also suggests a new approach to constructing generic models. This is an English translation of the author's article [Mat. Tr. 5, No. 1, 135--166 (2002; Zbl 1013.03040)].