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Related lectures (30)

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Covers the role of symmetries and groups in quantum mechanics, focusing on SU2 and SU3, their properties, and implications for physical theories.

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

Explores subsets, subgroups, actions, fixed points, stabilizers, orbits, and bijections in group theory.

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

Discusses the theory of free groups, their properties, and relationships with other algebraic structures.

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

Explores Lie groups, scalar fields, and vector spaces transformations.

Covers the construction and universal properties of pushouts in group theory.

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

Explores cohomology and the cross product, demonstrating its application in group actions like conjugation.