Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4661774 | Annals of Pure and Applied Logic | 2016 | 27 Pages |
Abstract
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) ℵ0ℵ0-categorical pseudoplanes. The simplicity of the automorphism groups of these follows from results which generalize work of Lascar and of Tent and Ziegler.
Keywords
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Physical Sciences and Engineering
Mathematics
Logic
Authors
David M. Evans, Zaniar Ghadernezhad, Katrin Tent,