New posts in Class Field Theory

Quadratic field, $O_K/\mathfrak{p} = \mathbb{F}_p$, $O_K/pO_K$ is a finite field of order $p^2$.

An interesting table of Prime Generating polynomials similar to $n^2+n+41$?

Interpretation of $S$-ideal class group

Galois Group of the Hilbert Class Field

Class field theory for function fields and a curious statement

Conceptual explanations of the class numbers for the first few $\mathbb{Q}(\sqrt{p})$ with odd conductor

Is cohomology of groups all about $H^{i}: -2\leq i\leq 2$?

Ideal classes fixed by the Galois group

The Teichmüller's algebraic interpretation of $H^3$ in group cohomology

Primes of the form $x^2+ny^2$ and congruences.