Explicit Construction of Self-Dual Integral Normal Bases for the Square-Root of the Inverse Different

Erik Jarl Pickett

Let $K$ be a finite extension of $\Q_p$, let $L/K$ be a finite abelian Galois extension of odd degree and let $\bo_L$ be the valuation ring of $L$. We define $A_{L/K}$ to be the un…