Group theory

Related lectures (32)

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

Covers the Kuill-Laflamme theorem and the stabilizer formalism for Quantum Error Correcting Codes.

Covers the definition of solvable groups and the abelian property of group quotients.

Covers aggregation logic, sorting results, and writing SQL queries based on specific attributes.

Explores the study of finite groups through subgroup analysis, focusing on Sylow subgroups.

Explores the concept of p-subgroups of Sylow in group theory, emphasizing the philosophy of studying mathematical objects 'one prime at a time'.

Explores finitely generated abelian groups, focusing on their structure and isomorphism theorems.

Explores symmetry operations, isomorphic representations, and three-dimensional group representations.

Introduces the basics of group theory, covering definitions, examples, subgroups, and homomorphisms.

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