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Related lectures (30)

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Focuses on abelian p-groups, demonstrating technical results for classifying finite abelian groups.

Explores the third isomorphism theorem in group theory, focusing on quotient groups and a categorical perspective.

Explores isometries, group homomorphisms, linear transformations, and group generation by similarities.

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

Explores the local structure of totally disconnected locally compact groups and their isomorphisms through conjugation.

Covers prime numbers, RSA cryptography, and primality testing, including the Chinese Remainder Theorem and the Miller-Rabin test.

Covers Cauchy's theorem, classification of finite abelian groups, direct product properties, and more.

Covers the proof of the Classification Theorem for finite abelian groups, demonstrating the existence of a decomposition into cyclic groups.

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

Covers linear representations, isomorphism, G modules, and classification of representations of C star and C plus.