Lectures related to Quaternion algebra

Covers the construction of Qp, norms, valuations, and Ostrovski's theorem.

Explores group homomorphisms, constructing isomorphisms between groups using generators and relations.

Covers division rings, fields, and ideals in commutative rings with examples in Z and quaternions.

Explores residue fields, quadratic forms, discriminants, and Dedekind recipes in algebraic number theory.

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

Explores ramification theory, residual fields, and discriminant ideals in algebraic number theory.

Explores linear projective groups, quaternions, subgroup generation, and normality.