Concept

Field norm

Related lectures (4)

Explores Frobenius theorems in number theory, ideal class groups, norm properties, and geometry of numbers.

Covers the extension of fields, defining the norm of an element from one field to another, and introducing the p-adic valuation.

Covers the uniqueness of norm extension in finite fields and the construction of norms on finite extensions of Qp.

Covers orthogonal projections, rectors, norms, and geometric observations in vector spaces.