\(\omega\)-stable trigonometries on a projective plane
type: Item
instance of: scholarly article
title: \(\omega\)-stable trigonometries on a projective plane
zbMATH Open document ID: 1047.03030
author: S. V. Sudoplatov
published in: Siberian Advances in Mathematics
publication date: 2004-09-06T00:00:00Z
review text: 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)].
Mathematics Subject Classification ID: 03C60
Mathematics Subject Classification ID: 03C45
Mathematics Subject Classification ID: 51A35
Mathematics Subject Classification ID: 20E06
Mathematics Subject Classification ID: 20A15
zbMATH DE Number: 2097118
zbMATH Keywords: trigonometry of a group
zbMATH Keywords: projective plane
zbMATH Keywords: \(\omega \)-stable theory
zbMATH Keywords: generic trigonometry
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2097118