Group Theory: Properties and Examples

Related lectures (31)

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Explores quotients of groups by equivalence relations and the conditions for well-defined sets.

Covers commutative groups and their significance in cryptography.

Covers the basics of group theory, including elements, associativity, identity, inverses, and closure.

Introduces the basics of group theory, including operations, properties, and Lie groups.

Explores isomorphism and the order of group elements, emphasizing matching identities and inverses.

Explores symmetries in physics through group theory, emphasizing how symmetries keep equations of motion unchanged.

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

Covers the fundamental concepts of group theory and examples of real numbers and permutations.

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

Provides a recap of group theory, defining a group as a set with a multiplication operation.