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Related lectures (29)

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Explores the universal property of groups, defining homomorphisms and exploring subgroup properties.

Explores the philosophy of understanding a group through its subgroups' structure, focusing on finite groups.

Introduces the theory of abelian groups, focusing on p-abelian groups and their structure.

Explores Poincaré irreducible representations, Little Group, and induced representation in the context of momentum eigenstates.

Explores Diffie-Hellman key exchange, DDH problem, active attacks, and cryptographic protocol challenges.

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

Explores automorphism groups of trees and graphs, including actions on trees and group homomorphisms.

Explores cryptography, perfect secrecy, group theory, and modern cryptographic milestones, emphasizing the trade-off between security and cost.

Explores Wedderburn's theorem, group algebras, and Maschke's theorem in the context of finite dimensional simple algebras and their endomorphisms.