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an element of a finite group

 
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Dec15-12, 12:27 AM   #1
 

an element of a finite group


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
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Dec15-12, 02:19 AM   #2
 
You might try applying Lagrange's theorem; that should set you in the right direction.
Dec15-12, 02:30 AM   #3
 
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If [itex] G [/itex] is a finite group with order [itex] |G| [/itex] then for each element [itex] a \in G [/itex] , [itex] a^{|G]} = I [/itex], the identity.
Are you asking how to write a proof of the theorem or for some intuitive indication why it is true?
Dec15-12, 03:58 AM   #4
 

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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