Thread: cycle

Express the following permutations as the product of transpositions:

a) (1 2 3 5 7)(2 4 7 6)
b) (1 2)(1 3)(1 4)
e) (1 2 3)(3 5 7 9)(1 2 3)^-1
f) (1 2 3 4 5)^3.


Please show steps. Thanks!

Originally Posted by mpryal

Express the following permutations as the product of transpositions:

a) (1 2 3 5 7)(2 4 7 6)
b) (1 2)(1 3)(1 4)
e) (1 2 3)(3 5 7 9)(1 2 3)^-1
f) (1 2 3 4 5)^3.


Please show steps. Thanks!

Same approach at has down here.

You just need to know that

Also that

And for just imagine .

Show you work.