2019/05/05 by Andreas Baudisch, Baudisch, Andreas
Mathematics · #03C60 #Advanced Algebra and Geometry #Advanced Topics in Algebra #FOS: Mathematics #Finite Group Theory Research #Logic (math.LO)
paper · pdf · doi:10.48550/arxiv.1905.01600
openalex publication_date 2019/05/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.