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A note on the model theory of generalized polygons

Published online by Cambridge University Press:  12 March 2014

Katrin Tent
Katrin Tent*
Affiliation:
Mathematisches Institut, Universität Würzburg, Am Hubland, D-97074 Würzburg, Germany, E-mail: tent@mathematik.uni-wuerzburg.de
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Abstract

Using projectivity groups, we classify some polygons with strongly minimal point rows and show in particular that no infinite quadrangle can have sharply 2-transitive projectivity groups in which the point stabilizers are abelian. In fact, we characterize the finite orthogonal quadrangles Q(4,2). Q− (5.2) and Q(4,3) by this property. Finally we show that the sets of points, lines and flags of any ℵ1-categorical polygon have Morley degree 1.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 65 , Issue 2 , June 2000 , pp. 692 - 702
Copyright
Copyright © Association for Symbolic Logic 2000

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