Dear Laura,
The following seems to work, since these groups are abelian (Note,
for group structures, CyclicGroup() is more appropriate than ZmodnZ()).
-Shaun Ault
gap> G := DirectProduct(CyclicGroup(3^3), CyclicGroup(3^2));
<pc group of size 243 with 5 generators>
gap> n := Size(SubgroupsSolvableGroup(G));
36
gap>
[EMAIL PROTECTED] wrote:
I recently installed GAP on my computer and am trying to figure out how to solve the following problem using GAP (I spent a few hours reading through the manual but haven't been successful).
Let p be prime. Find the number of subgroups of order p^2 of the additive
abelian group $G:=Z_{p^3}\oplus Z_{p^2}$
The group G is the direct sum of additive groups ZmodnZ(p^3) and ZmodnZ(p^2)
I would be content solving by problem for a specific p, say p=3.
Thank you for your time.
-Laura
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