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.

   

2. For α = (1 3 4 6)(5 8 9) and β = (2 3 7)(9 1 8 5), compute αβα^-1.

3. Write the chromosomal π_chr and adjacency π_adj algebraic representations of genome π depicted below and verify that π_chr Γ = π_adj and that π_adj Γ = π_chr.

   

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