Arithmetical invariants of local quaternion orders

Nicholas R. Baeth, Daniel Smertnig

Let $D$ be a DVR, let $K$ be its quotient field, and let $R$ be a $D$-order in a quaternion algebra $A$ over $K$. The elasticity of $R^{\bullet }$ is $ρ(R^\bullet) = \sup\{\, k/l : u_…