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On the Malcev correspondence


Author: Carlos R. Videla
Journal: Proc. Amer. Math. Soc. 109 (1990), 493-502
MSC: Primary 20G15; Secondary 03C65, 20F18
MathSciNet review: 1014647
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Abstract: We generalize Mal'cev's correspondence [5] to other nilpotent groups, namely to certain maximal unipotent subgroups of Chevalley groups. If $ \mathcal{L}$ is a root system and $ K$ is an infinite field of characteristic different to 2 or 3, then we show that a group $ G$ elementarily equivalent to $ {U_\mathcal{L}}(K)$ is isomorphic to $ {U_\mathcal{L}}(F)$, where $ F$ is a field elementarily equivalent to $ K$.


References [Enhancements On Off] (What's this?)

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DOI: https://doi.org/10.1090/S0002-9939-1990-1014647-9
Article copyright: © Copyright 1990 American Mathematical Society