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anonymous
 4 years ago
Let (G,*) be a group with identity element e such that a*a=e for all a in G. prove that G is abelian
anonymous
 4 years ago
Let (G,*) be a group with identity element e such that a*a=e for all a in G. prove that G is abelian

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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Bleargh I don't know how to solve this. I will call upon @TuringTest and @FoolForMath for help. :P

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Although presumably if a*a=e, a is an identity element, and a group of identity elements are abelian? I don't know; I might be talking out of my retricehere.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0If I may suggest a better place to ask advanced questions, http://math.stackexchange.com/ . The average advanced user here is probably a college math student. :P Abstract algebra isn't for everyone.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ok yea that web is another level.. let me see if they could help

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Okay, this wasn't hard, \( a*a=e \implies a=a^{1} \) similarly \( b=b^{1} \) So, \[ a*b=(a*b)^{1} =b^{1} *a^{1} =b*a. \]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0M.SE thread: http://math.stackexchange.com/questions/118772/
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