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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

On anisotropic solvable linear algebraic groups


Author: S. P. Wang
Journal: Proc. Amer. Math. Soc. 84 (1982), 11-15
MSC: Primary 20G25
DOI: https://doi.org/10.1090/S0002-9939-1982-0633267-4
MathSciNet review: 633267
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Abstract: A connected linear algebraic solvable group $ G$ defined over a field $ k$ is anisotropic over $ k$ if $ G$ has no $ k$-subgroup splitting over $ k$. A simple criterion for anisotropic solvable groups is presented when $ k$ is a local field.


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DOI: https://doi.org/10.1090/S0002-9939-1982-0633267-4
Keywords: Linear algebraic groups, solvable groups, unipotent groups, local fields
Article copyright: © Copyright 1982 American Mathematical Society