November 13th, 2012, 09:51 AM  #1 
Joined: Dec 2011 Posts: 13 Thanks: 0  Provement...
Hello! I have such problem: Prove that in any group is the only one neutral element. I don't have any idea. Please, prove it. I want to insight. Thank you very much beforehand. 
November 13th, 2012, 06:09 PM  #2 
Senior Member Joined: Sep 2007 Posts: 2,409 Thanks: 3  Re: Provement...
The "neutral element", also called the "identity", e, has the property that for any element, a, in the group, ae= ea= a. If there were two "neutral elements", e and e', what can you say about e'e?


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