Concept

Coset

Related lectures (14)

Explores subgroups, normal subgroups, cosets, and Lagrange's theorem in group theory, emphasizing the importance of left cosets.

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

Delves into the symmetries of regular polygons, including the dihedral group and left cosets in a finite group.

Covers the theory of coset decoding and how to decode received messages.

Covers the concept of connected components in linear algebraic groups and their relationship to singular groups.

Covers normal subgroups, quotient groups, homomorphisms, and the categorical viewpoint in group theory.

Explores cosets in commutative groups, Lagrange theorem, and integer factorization.

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

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

Explores Lagrange's theorem applications in group theory and arithmetic, focusing on subgroups, cosets, quotient groups, and homomorphisms.

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

Covers the cup product in cohomology, focusing on examples and computations.

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