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On the Rost divisibility of henselian discrete valuation fields of cohomological dimension 3

On the Rost divisibility of henselian discrete valuation fields of cohomological dimension 3

Let F be a field, ℓ a prime and D a central division F -algebra of ℓ-power degree.By the Rost kernel of D we mean the subgroup of F * consisting of elements λ such that the cohomology class (D) ∪ (λ) ∈ H 3 (F, Q ℓ /Z ℓ …