On the Mal′cev correspondence
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- by Carlos R. Videla PDF
- Proc. Amer. Math. Soc. 109 (1990), 493-502 Request permission
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
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Additional Information
- © Copyright 1990 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 109 (1990), 493-502
- MSC: Primary 20G15; Secondary 03C65, 20F18
- DOI: https://doi.org/10.1090/S0002-9939-1990-1014647-9
- MathSciNet review: 1014647