Lectures related to Lagrange's theorem (group theory)

Explores subgroups, normal subgroups, cosets, and Lagrange's theorem in group theory, emphasizing the importance of left cosets.

Explores the symmetries of a regular n-gon, normal subgroups, cosets, and Lagrange's theorem.

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

Delves into the symmetries of regular polygons, including the dihedral group and left cosets in a finite group.

Covers Lagrange's theorem, group homomorphisms, congruence classes, and normal subgroups.

Explores cosets in commutative groups, Lagrange theorem, and integer factorization.

Explores Lagrange's theorem applications in group theory and arithmetic, focusing on subgroups, cosets, quotient groups, and homomorphisms.

Explores the applications of Lagrange's theorem in algebra, covering corollaries, cyclic groups, and quotient groups.

Covers the application and proof of the Lagrange theorem in group theory.

Covers normal subgroups, quotient groups, homomorphisms, and the categorical viewpoint in group theory.

Covers group theory concepts like isomorphism and semi-direct product through examples and proofs.

Explores the Chinese Remainders Theorem, RSA public-key cryptosystem, bijective properties, and key generation for encryption and decryption.

Explores Lagrange's theorem in commutative groups and the concept of equivalence relations, demonstrating their practical applications.

Explores the local structure of totally disconnected locally compact groups, focusing on GER and Mon (G), their properties, and faithful actions.

Covers the concept of connected components in linear algebraic groups and their relationship to singular groups.

Covers the cup product in cohomology, focusing on examples and computations.

Covers subsets in group theory and Lagrange's theorem with examples.

Explores group homomorphisms, kernels, images, and normal subgroups, using the dihedral group D_n as an example.

Covers anonymous authorization, zero-knowledge proofs, attribute-based credentials, and practical issues in anonymous authentication.

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