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Preprint Number 662

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662. David M. Evans, Zaniar Ghadernezhad and Katrin Tent
Simplicity of the automorphism groups of some Hrushovski constructions

Submission date: 12 December 2013.


We show that the automorphism groups of certain countable structures obtained using the Hrushovski amalgamation method are simple groups. The structures we consider are the uncollapsed structures of infinite Morley rank obtained by the ab initio construction and the (unstable) omega-categorical pseudoplanes. The simplicity of the automorphism groups of these follows from results which generalize work of Lascar and of Tent and Ziegler.

Mathematics Subject Classification: 03C15, 20B07, 20B27

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Full text arXiv 1312.3430: pdf, ps.

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