Write every element of S_3 as a product of disjoint cycles.
I don't know what am I supposed to do. Please help

Question

Write every element of S_3 as a product of disjoint cycles.
I don't know what am I supposed to do. Please help

loser66 · Answer

@BSwan

anonymous · Answer

its the same as D_3 right ?
the symetric of triangle ?

loser66 · Answer

yes

loser66 · Answer

$S_3=\{(1,2,3), (1,3,2),(2,1,3),(2,3,1),(3,1,2),(3,2,1)\}$
To me, they are all disjoint. What do I have to do more?

anonymous · Answer

i dont know to be honest , its of order 6 for sure so what u wrote disjoined 
not sure what does the question mean of product mmm

loser66 · Answer

ha!! I am not alone, hehehe... and I am happy of that.

anonymous · Answer

haha <3 the cutest loser ever and the smartest :P

anonymous · Answer

does it mean we need elements in s_3 such that
ab=e ?

loser66 · Answer

It talks about the order of the cycles, for example r_2 is order 3

anonymous · Answer

hmmm brb

anonymous · Answer

actully lol i'll try in evening :P
i liked this question
lets see if @ganeshie8 would know before i come back

anonymous · Answer

no lol  , how should i know :P
talk to him hehehe

loser66 · Answer

@kirbykirby