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For a simply connected semisimple algebraic group over an algebraicallyclosed field of positive characteristic we have already constructed a splittingof the Frobenius endomorphism on its algebra of distributions. We generalizethe construction to the case of general reductive groups and derive thecorresponding corollaries.

Un scindage du morphisme de Frobenius sur l'alg\`ebre des distributions d'un groupe r\'eductif