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Preprint Number 232

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232. Pietro Dello Stritto
Supersimple Moufang polygons
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Submission date: 19 February 2010.

Abstract:

This paper continues the work started in [4], where we showed that each class of finite Moufang polygons forms an asymptotic class, in the sense of [9] and [6]. Here, we show that all (infinite) Moufang polygons whose first order theory is supersimple of finite rank are characterized as those inherited from the finite, i.e. if Γ is a supersimple finite rank Moufang polygon, then Γ belongs to one of the families of Moufang polygons which also has finite members. The proof rests on the classification of Moufang polygons due to Tits and Weiss, [15].

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