Okay, so i'm having trouble understanding the following question:(adsbygoogle = window.adsbygoogle || []).push({});

Determine the group of automorphisms of [tex]S_3[/tex].

I understand that the automorphisms must match orders of the same element, and since there are three permutations of order 2 and two of order 3, there are 6 "possible" permutations. But I don't know where to go from here. I'm pretty sure there's a better way than to tediously go through all six possible automorphisms, and explicitly check whether each work or not. Am i missing something here?

(I mean, how do you know when you'vedeterminedthe group?)

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# More automorphisms

**Physics Forums | Science Articles, Homework Help, Discussion**