[GAP Forum] Automorphism group of Aut(D2n)

Sven Reichard sven.reichard at tu-dresden.de
Tue Jul 19 07:39:18 BST 2016


Dear Abdulhakeem,

I don't think GAP can give you a general answer. However, for each value
of n  it is straightforward:

gap> n := 10;
10
gap> g := DihedralGroup(2*n);
<pc group of size 20 with 3 generators>
gap> aut := AutomorphismGroup(g);
<group of size 40 with 3 generators>
gap> StructureDescription(aut);
"C2 x (C5 : C4)"

Hope this helps,
Sven.
--
Institut für Algebra
TU Dresden

On 18.07.2016 17:56, abdulhakeem alayiwola wrote:
> Dear forum,
> Can anyone in the house describe the steps to find Aut(D2n) using GAP.
> Note that Aut(D2n) is Automorphism group of Dihedral group of order 2n.
> Regards.
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