How Does an Element of a Finite Group Relate to Cryptology Theorems?

[llauren84]

I need help with this theorum, please.

How is this (the attachment) true? It's for my cryptology class.

The rest of the day's notes are here: http://crypto.linuxism.com/thursday_december_13_2012

 

[Number Nine]

You might try applying Lagrange's theorem; that should set you in the right direction.

 

[Stephen Tashi]

If $G$ is a finite group with order $|G|$ then for each element $a \in G$ , $a^{|G]} = I$, the identity.

Are you asking how to write a proof of the theorem or for some intuitive indication why it is true?

 

[llauren84]

LaGrange's theory helped thanks. Also, the rewritten form of the statement helped, so thanks both of you.