Lectures related to Centralizer and normalizer

Explores group homomorphisms, emphasizing surjective mappings and their impact on group questions.

Explores the derivation of critical exponents and the scaling laws in phase diagrams.

Explores inverse limits, profinite completions, and Hausdorff topologies in group theory and topology.

Introduces ring theory, covering definitions, examples, and subrings criteria.

Covers the RSA cryptosystem, encryption, decryption, group theory, Lagrange's theorem, and practical applications in secure communication.