The norm principle for type $D_n$ groups over complete discretely valued fields

Nivedita Bhaskhar, Vladimir Chernousov, Alexander Merkurjev

Let $K$ be a complete discretely valued field with residue field $k$ with $\mathrm{char}(k)\ne 2$. Assuming that the norm principle holds for extended Clifford groups $\Omega (q)$ for e…