[GAP Forum] question
alexander.konovalov at gmail.com
Fri Aug 8 11:15:39 BST 2008
On 6 Aug 2008, at 15:42, Elaheh khamseh wrote:
> Can i find the groups have only identity automorphism?
Dear Elaneh Khamseh,
In GAP, for a finite group you can construct its automorphism group
and then you may see if it is trivial or not. For example,
<pc group of size 3 with 1 generators>
so here Aut(G) is not trivial.
It is easy to see without GAP that the group of order two has trivial
automorphism group. This can be demonstrated in GAP as below:
<pc group of size 2 with 1 generators>
It is an easy exercise to prove that there are no other non-trivial
(finite and infinite) groups with this property.
Hope this helps.
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