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10.31 (1986)

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Suppose that $G$ is an algebraic group, $H$ is a closed normal subgroup of $G$ and $f : G \to G/H$ is the canonical homomorphism. What conditions ensure that there exists a rational section $s : G/H \to G$ such that $sf = 1$?

Contributor: Yu. I. Merzlyakov

Progress

For partial results, see (Yu. I. Merzlyakov, Rational Groups, Nauka, Moscow, 1987, ยง 37 (Russian)).

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