On anisotropic solvable linear algebraic groups
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- by S. P. Wang PDF
- Proc. Amer. Math. Soc. 84 (1982), 11-15 Request permission
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.References
- Armand Borel, Linear algebraic groups, W. A. Benjamin, Inc., New York-Amsterdam, 1969. Notes taken by Hyman Bass. MR 0251042 Gopal Prasad, Elementary proof of a theorem of Tits and of a theorem of Bruhat-Tits (preprint).
- Maxwell Rosenlicht, Some rationality questions on algebraic groups, Ann. Mat. Pura Appl. (4) 43 (1957), 25–50. MR 90101, DOI 10.1007/BF02411903
- Maxwell Rosenlicht, Questions of rationality for solvable algebraic groups over nonperfect fields, Ann. Mat. Pura Appl. (4) 61 (1963), 97–120 (English, with Italian summary). MR 158891, DOI 10.1007/BF02412850
Additional Information
- © Copyright 1982 American Mathematical Society
- 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