Relative integral spinor norm groups over dyadic local fields

TL;DR

This paper provides explicit formulas for the relative integral spinor norm groups over dyadic local fields, advancing the understanding of quadratic forms in this specific algebraic setting.

Contribution

It introduces explicit formulas for the relative integral spinor norm groups over dyadic local fields, a case not thoroughly covered before.

Findings

Explicit formulas for $ heta (X(M/N))$ over dyadic local fields

Enhanced understanding of quadratic forms in local fields

Potential applications in algebraic number theory

Abstract

We give explicit formulas for the relative integral spinor norm group $\theta (X(M/N))$ in the case when the base field is a local dyadic field.