Group Theory BasicsIntroduces the basics of group theory, including operations, properties, and Lie groups.
Symmetry and Group TheoryExplores chirality, group completeness, Abelian groups, conjugate classes, and isomorphic groups in symmetry and group theory.
Group Theory: BasicsCovers the basics of group theory, including definitions, examples, and isometries.
Chinese Remainders & RSAExplores the Chinese Remainders Theorem, RSA public-key cryptosystem, bijective properties, and key generation for encryption and decryption.
Lie Algebra: Group TheoryExplores Lie Algebra's connection to Group Theory through associative operations and Jacobi identities.
Cryptography and Information TheoryExplores cryptography, perfect secrecy, group theory, and modern cryptographic milestones, emphasizing the trade-off between security and cost.