Thread: permutations

consider the permutations in S7, what are the orders of these permutations!?

a. (3,1). (4,1). (5,1). (7,1)

b. (2,3,4,5). (1,2,5,7)

i understand the cycles have to be disjoint but i dont which end to work from to produce disjoint cycles, especially in a.

Originally Posted by linearalgebradunce

a. (3,1). (4,1). (5,1). (7,1)

As a product of disjoint cycles we get, (17543) and this has order 5.

b. (2,3,4,5). (1,2,5,7)

As a product of disjoint cycles we get, (13457) and this has order 5.