Lagrange's Theorem: Applications and Homomorphisms

Related lectures (31)

Page 3 of 4

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

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

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

Explores the isomorphism theorems for quotient groups and the concept of surjective homomorphisms.

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

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

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

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

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

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