Example of an algebraic group G defined over k such that G does not contain a Borel subgroup defined over k.

Asked Jan 05 '18 at 06:05

Active Jan 05 '18 at 17:05

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Example of an algebraic group $G$ defined over $k$ but $G$ does not contains a Borel subgroup defined over $k$.

edited Jan 05 '18 at 17:05

asked Jan 05 '18 at 06:05

user371913

For reductive groups $G$ would be not quasi-split. This might help lead to an example. – Dap Jan 05 '18 at 17:48

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