Group Theory · Algebra
Group Actions and Sylow Theory
Group actions formalize symmetry. Sylow’s theorems give existence, conjugacy, and count of prime-power subgroups — the sharpest general tool for finite group structure.
WHAT STUDENTS WILL LEARN
✓Define group actions; identify orbits and stabilizers
✓Apply the orbit-stabilizer theorem
✓State the three Sylow theorems
✓Classify groups of small order
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