Powers and Multiples: Subgroups and Stabilizers

Related lectures (32)

Page 3 of 4

Introduces group theory basics and group action concepts with associated subsets.

Covers the concepts of normalizer, centralizer, and center in group theory, providing examples of their applications.

Explores group morphisms, kernels, and injectivity in group theory.

Introduces the theory of abelian groups, focusing on p-abelian groups and their structure.

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

Explores the local structure of totally disconnected locally compact groups and their isomorphisms through conjugation.

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

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

Introduces normal subgroups, group quotients, and their applications in group theory.

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