How Does Cycle Length Relate to Element Order in Group Representations?

[NateDoris]

abstract algebra question??

here is the problem from abstract algebra, anyone could help? Thanks a lot!

let G be a finite group. Show that in the disjoint cycle form of the right regular representation Tg(x)=xg of G each cycle has length | g |.
(Tg(x) means T sub g of x)

loofinf forward seeing some answers! Thanks!

 

[ystael]

What have you tried so far? There's a reason why this forum asks people to use a standard form for posting homework questions.

From what you've posted, it's not obvious whether you even understand the definitions involved.