Index of a subgroup

Related lectures (19)

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Explores McKay graphs for finite subgroups of SU(2) and the corresponding Coxeter graphs.

Explores Weyl characters, Macdonald's identities, and Borcherds products in Euclidean space.

Explores the derivation of Dynkin diagrams from Du Val singularities.

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

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

Covers the local structure of totally disconnected locally compact groups, exploring properties and applications.

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

Explores the properties and applications of Euclidean isometries in R^2.

Covers self-similar groups and automorphisms of rooted trees, exploring residually finite groups and congruence subgroups.