Permutation groups and symmetric groups
General · Mathematics
Study notes
Q: Write (1 2 3)(4 5) in S₅ as transpositions. What is its order and sign? (1 2 3) = (1 3)(1 2) [right to left!]. (4 5): transposition. Total: (1 3)(1 2)(4 5): 3 transpositions: ODD permutation! Order: lcm(3,2) = 6! Check: σ⁶ = e ✓!