Group Theory: Action on a Product

Related lectures (32)

Page 3 of 4

Explores solvable groups, group actions, normalizers, and stabilizers in group theory.

Introduces subgroups and homomorphisms in group theory, with examples for illustration.

Introduces natural transformations in group theory and category theory, emphasizing their definition and significance.

Explores the construction of G-sets and left adjoint functors in category theory.

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

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

Explores the concept of free abelian groups as an important left adjoint functor.

Explores divisibility and torsion in group theory, focusing on defining a functor that preserves divisibility.

Covers the adjoints of the restriction functor in group theory.

Explains the concept of free actions and their preservation properties in group theory.