2
$\begingroup$

As I am sure some of you may have noticed I'm doing a series of exercises by Rotman and I am finding difficulties. Now I unbeaten into this problem

Give an example of an abelian and a non-abelian group with isomorphic automorphism groups.

Can you help me?

  • 5
    Hint: this is surprisingly easy.2011-05-19
  • 0
    May be u can think of groups $G$ which has $|\text{Aut}(G)|=p$ for some prime $p$.Then u are through2011-05-19
  • 2
    @Chandru: that's not possible unless $p=2$, and even then, $G$ has to be abelian.2011-05-19
  • 6
    @Chandru: please stop leaving unhelpful comments. It is annoying to indicate that a comment is incorrect because it is not possible to downvote comments so I would _strongly recommend_ that you stop doing this or I may have to start deleting them.2011-05-19
  • 0
    Please don't yell.2011-05-19

1 Answers 1