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arXiv · 1905.01600

Nilpotent Group-Counterexamples to Zilbers Conjecture

Andreas Baudisch
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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 Zilbers 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.

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BibTeXRIS

Andreas Baudisch. 2019-05-05. Nilpotent Group-Counterexamples to Zilbers Conjecture. https://arxiv.org/abs/1905.01600

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