← Theoretical / proof-based

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In this program

Review of groups and homomorphisms
Quotient groups
Sylow theorems and solvable groups
Modules over rings
Projective modules
Structure theorem for modules over PIDs (as covered)

Groups and modules

Sylow theorems and solvable groups

Graduate algebra · Theoretical / proof-based

Topic

Sylow theorems and solvable groups

Practice by unit: Groups and modules

Graduate Algebra — scope drawn from open graduate algebra notes (e.g. Milne Group Theory / field-algebra OER) and typical first-year graduate algebra syllabi.

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