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On non-commutative twisting in étale and motivic cohomology

On non-commutative twisting in étale and motivic cohomology

This article confirms a consequence of the non-abelian Iwasawa main conjecture. It is proved that under a technical condition the étale cohomology groups H 1 (𝒪 K [1/S],H i (X ¯,ℚ p (j))), where X→Spec𝒪 K [1/S] is a smooth, projective scheme, are generated by twists of norm compatible units …