Learning outcomes for 3450:412/512 Abstract Algebra II:

Upon completion of this course, students are expected to:

• Understand the concepts of direct product of groups, normal subgroups, and factor groups,
• Describe the structure of finite Abelian group,
• Use Sylow’s theorems to describe the structure of certain finite groups,
• Explain the notion of an extension of a field,
• Describe the structure of finite fields,
• Use Galois theory to analyze the solvability of polynomials,
• Produce rigorous proofs of propositions/theorems arising in the context of abstract algebra.