Lagrange's theorem (group theory)

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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.