# an element of a finite group

by llauren84
Tags: element, finite
 P: 44 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 Attached Thumbnails
 P: 771 You might try applying Lagrange's theorem; that should set you in the right direction.
P: 3,177
 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?

P: 44

## an element of a finite group

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

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