Thread: group permutations 1

Find the parity of each permutation:

b) (1 2 3 4 5 6)(7 8 9)
c) (1 2 3 4 5 6)(1 2 3 4 5 7)
d) (1 2)(1 2 3)(4 5)(5 6 8)(1 7 9)

Please show steps. Thanks!

Originally Posted by mpryal

Find the parity of each permutation:

b) (1 2 3 4 5 6)(7 8 9)
c) (1 2 3 4 5 6)(1 2 3 4 5 7)
d) (1 2)(1 2 3)(4 5)(5 6 8)(1 7 9)

I do the first one you do the other ones.

Notice, and .
Thus,
.

Notice there are transpositions, so it is an odd permutation.