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Preprint Number 1609

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1609. Andreas Baudisch
Nilpotent Group-Counterexamples to Zilber's Conjecture
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Submission date: 5 May 2019

Abstract:

We construct uncountably categorical 3-nilpotent groups of exponent p > 3. They are not one-based and do not allow the interpretation of an infinite field. Therefore they are counterexamples to Zilber's Conjecture. First 2-nilpotent new uncoutably categorical groups were contructed in [3]. Here we use the method of the additive Collapse developed in [5]. Essentially we work with 3-nilpotent graded Lie algebras over the field with p elements.

Mathematics Subject Classification: 03C60

Keywords and phrases:

Full text arXiv 1905.01600: pdf, ps.


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