Applications of Lagrange's Theorem

Related lectures (32)

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

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

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

Explores group homomorphisms, kernels, images, and normal subgroups, using the dihedral group D_n as an example.

Explores examples of group actions on sets, emphasizing the utility of group actions to understand groups.

Explores the symmetric group, emphasizing cycle notation and group properties.

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

Explores group homomorphisms, emphasizing surjective mappings and their impact on group questions.

Explores automorphism groups of trees and graphs, including actions on trees and group homomorphisms.

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