Exercises marked with (*) require further reading/search beyond the suggested texts.
1. Compute πσ and σπ for the permutations π and σ depicted below.
Answer:
π = (1 9 13 10 8 3)
σ = (2 8 6 12 4 7 11 5)
π σ = (1 9 13 10 8 3)(2 8 6 12 4 7 11 5) = (1 9 13 10 8 6 12 4 7 11 5 2 3)
σ π = (2 8 6 12 4 7 11 5)(1 9 13 10 8 3) = (2 8 3 1 9 13 10 6 12 4 7 11 5)
© 2015 Joao Meidanis