[GAP Forum] direct sums and counting subgroups
laurawicklund at comcast.net
laurawicklund at comcast.net
Sat Nov 24 22:09:22 GMT 2007
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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