Group Theory: Definitions and Properties

Related lectures (30)

Page 1 of 3

Introduces group theory concepts, properties, and examples, including injective functions and group properties like associativity and inverses.

Covers the basics of group theory, including sets, applications, and examples like permutations and rotations.

Covers commutative groups and their significance in cryptography.

Covers the basics of group theory, including definitions, examples, and isometries.

Explores the arithmetic of direct sum of abelian groups and the process of turning a monoid into a commutative group.

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

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

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

Explores the group structure and isomorphism of elliptic curves, including inverses, associativity, and compactification to the torus.

Explores Lie Algebra's connection to Group Theory through associative operations and Jacobi identities.