Dear Ahmet,
Perhaps this is what you need then?
gap> DirectProduct(CyclicGroup(25),CyclicGroup(5));
<pc group of size 125 with 3 generators>
gap> G:=DirectProduct(CyclicGroup(25),CyclicGroup(5));
<pc group of size 125 with 3 generators>
gap> StructureDescription(G);
"C25 x C5"
gap> Projection(G,1);
Pcgs([ f1, f2, f3 ]) -> [ f1, f2, <identity> of ... ]
gap> StructureDescription(Image(Projection(G,1)));
"C25"
gap> StructureDescription(Image(Projection(G,2)));
"C5"
HTH
Alexander
On 14 Nov 2014, at 11:59, Ahmet Arıkan <ari...@gazi.edu.tr> wrote:
> Dear Forum,
> Can we calculate the external direct product \mathbb{Z}_{25}\oplus
> \mathbb{Z}_5 in GAP not considering isomorphic copies of them in symmetric
> groups.
>
> We follow Rainbolt&Gallian notes with a group of students in this semester
> and we will ask some questions along the way.
>
> Thank you
> Ahmet Arıkan
>
>
> iPad'imden gönderildi
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