The algebraic Brauer group of a reductive group over a nonarchimedean local field
Abstract
We show that for nonarchimedean local fields F, the pairing from the algebraic part of the Brauer group of a reductive group G characterizes all continuous homomorphisms from G(F) into Q/Z. This generalizes results of Loughran and Loughran-Tanimoto-Takloo-Bighash.
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