Day 284: Quotient Groups — Collapsing Structure

Learning Objectives

• •Construct the quotient group $G/N$ from a normal subgroup
• •Verify that coset multiplication is well-defined
• •Prove that $G/N$ is a group
• •Compute quotient groups for standard examples
• •Apply the quotient construction to physical systems
• •Use quotient groups to simplify group-theoretic problems

Today's Schedule (7 hours)