An application of model theory to real and p-adic algebraic groups

DOI10.1016/0021-8693(89)90323-2zbMath0694.20029OpenAlexW2075870311MaRDI QIDQ909035

Anand Pillay

Publication date: 1989

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(89)90323-2

zbMATH Keywords

quantifier eliminationsemialgebraic setscommutator subgroupp-adic semialgebraic groupreal algebraic groupTarski- Seidenberg theorem

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Linear algebraic groups over local fields and their integers (20G25)

Related Items

Group Actions on Pretrees and Definability, Van der Waerden continuity theorem for semisimple Lie groups, Connected locally compact groups: The Hochschild kernel and faithfulness of locally bounded finite-dimensional representations, The derived subgroup of linear and simply-connected o-minimal groups, Linear groups definable in o-minimal structures, Simple algebraic and semialgebraic groups over real closed fields, Groups definable in local fields and pseudo-finite fields

Cites Work

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• On groups and fields definable in o-minimal structures
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• On the structure of semialgebraic sets over p-adic fields
• Abstract Nash Manifolds
• On definable subsets of p-adic fields