Question

2. For each below, write as a product of disjoint cycles. Determine if the permutation is even or odd, and find its order. (4 points) (a) (1243)(3521) (b) (12)(134) (152)

Answer 1

a) Even

b) Odd

Explanation:

a) (1243)(3521)

*We get the following after determination:

= (13) (14) (12) (31) (32) (35)

• From A we get EVEN

b) (12)(134)(152)

= (12) (13) (14) (15) (12)

• From B we get ODD