Lectures related to Principal Congruence Subgroup of Level 2

Explores vector valued functions, their representations, uniqueness, and congruence subgroups.

Covers the group presentation of S3, normal subgroups, generators, relations, quotient groups, and injective homomorphisms.

Explores group morphisms, injectivity criteria, and conjugation concepts within groups.

Covers self-similar groups and automorphisms of rooted trees, exploring residually finite groups and congruence subgroups.

Introduces normal subgroups, group quotients, and their applications in group theory.

Explores meromorphic differentials on Riemann surfaces and modular forms on congruence subgroups.

Explores fundamental groups, homotopy classes, and coverings in connected manifolds.

Explores group morphisms, kernels, and injectivity in group theory.

Covers the local structure of totally disconnected locally compact groups, exploring properties and applications.