The group ${\mathrm{TK}}_1$ of graded and valued division algebras

Huynh Viet Khanh, Nguyen Duc Anh Khoa, Adrian R. Wadsworth

For a division algebra $D$, let $K_1(D)=D^{\ast }/[D^{\ast },D^{\ast }]$ and let ${\mathrm{TK}}_1(D)$ be the torsion subgroup of the abelian group $K_1(D)$. We study this torsion group for gr…