New posts in Class Field Theory

Class Group of the Class Number $3$ with their elements given explicitly

$K^{*n}$ has finite index in $K^*$ for an infinite extension field $K$ of $\mathbb{Q}_p$?

Places of an algebraic number field

Ring of integers and unit group for local fields

Does this Galois group determine the class ideal class group?

What does $(a,b)_{\zeta}$ correspond to in $\mathrm{Br}(\mathbb{Q}_p)=\mathbb{Q}/\mathbb{Z}$

Brauer group of global fields

Find all primes $p$ such that $x^3+x+1\equiv0\pmod p$ has $3$ incongruent solutions.

Some questions about Class Field Theory from a beginner

Ramification in $\mathbb Q(i,\sqrt[4]\pi)/\mathbb Q(i)$