Hi guys, Is the automorphism group of a cyclic group always abelian? I believe so but I need to prove it. I don't really know where to start...any ideas?
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Hi Let be a cyclic group, one of its generators. Two automorphisms and are determined by and for some Since and are automorphisms, they're also determined by and therefore if then and the automorphism group is abelian. So is true?
Originally Posted by ziggychick Hi guys, Is the automorphism group of a cyclic group always abelian? I believe so but I need to prove it. I don't really know where to start...any ideas? You can do better that what clic-clac said if you want to try and additional exercise. If is a cyclic group then . If then .
oh i see now. i can prove those two things. thanks!
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