Question

Find the order of (1,4,2,3,5)(1,3,4,5).

Answer 1

I dont know

Answer 2

what is "the order" ?the question is unclear.

Answer 3

is it cross product of 2 sets? I mean your post lack of X between the two?

Answer 4

i believe the order is the cycle with the most elements, and its the number of elements ....

Answer 5

that does look like the last one, so id say the order is 3

Answer 6

" The order of a permutation is the least common multiple of the lengths of the cycles" .... hmmm, i might have to review that

Answer 7

we had disjoint cycles of 3 and 2, the LCM would be 6

Answer 8

That is how the question is on my paper. I figured the order to be (5,4,1)(3,2)

Answer 9

the disjoint cycles are: (5,4,1)(3,2)
the lengths of them are: 3 2

the least common multiple of 3 and 2 is: 6

Answer 10

Oh ok.

Answer 11

@amistre64 how the length of (3,2) =2?