Covers Cauchy's theorem, classification of finite abelian groups, direct product properties, and more.
Covers proper actions of groups on Riemann surfaces and introduces algebraic curves via square roots.
Demonstrates the existence of p-Sylow subgroups in any finite group using induction and the abelian case.
Explores the proof of the existence of Sylow subgroups in group theory.
Covers the RSA cryptosystem, encryption, decryption, group theory, Lagrange's theorem, and practical applications in secure communication.