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math.NT2024
The period and index of a Galois cohomology class of a reductive group over a local or global field
Mikhail Borovoi
Let be a local or global field. For a connected reductive group over , in another preprint [5] we defined a power operation $$(ξ,n)\mapsto ξ^{\Diamond n}\,\colon\, H^1(K…
math.NT2024
The power operation in the Galois cohomology of a reductive group over a number field
Mikhail Borovoi, Zinovy Reichstein, Philippe Gille
For a connected reductive group over a local or global field , we define a *diamond* (or *power*) operation $$(ξ,n)\mapsto ξ^{\Diamond n}\,\colon\, H^1(K,G)\times {\mathbb Z…