On Congruence Theorem for valued division algebras

Huynh Viet Khanh, Nguyen Duc Anh Khoa

Let $K$ be a field equipped with a Henselian valuation, and let $D$ be a tame central division algebra over the field $K$. Denote by ${\mathrm{TK}}_1(D)$ the torsion subgroup of the…