MO640 - Exercises - Algebraic theory, Feijao and Meidanis 2013

Exercises marked with (*) require further reading/search beyond the suggested texts.

1. Compute πσ and σπ for the permutations π and σ depicted below.

permutations pi and sigma

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)


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