New posts in local-field

roots of unity, wild ramification and units of norm one in local fields

Compositum of totally ramified extensions is not totally ramified

Computing a uniformizer in a totally ramified extension of $\mathbb{Q}_p$.

Finitely Many Extensions of Fixed Degree of a Local Field

Using Hensel lemma to find roots in valuation rings

Are rings of power series over a local field complete?

Calculating the ramification and inertia degree of $\mathbb{Q}_2(\sqrt{3}, \sqrt{7})$ and $\mathbb{Q}_2(\sqrt{3}, \sqrt{2})$ over $\mathbb{Q}_2$

An infinite family of Artin-Schreier polynomials which all split in $\mathbf{F}_q(\!(\theta)\!)$

Convergence of a sequence in a non-Archimdean valuation for a field.

Why is the image of $k^+$ dense in the character group?

Galois action on a uniformizer of a non-archimedean local field

Serge Lang Never Explains Anything Round II