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Math Help - Number of group homomorphisms

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    Number of group homomorphisms

    My solution to this problem, although it can be generalized to any finite abelian group G, is not straightforward. See if you can find a simple solution:

    Let p be a prime number. Let G_1 and G_2 be cyclic groups of orders p and p^2 respectively. Let G=G_1 \times G_2. Find the number of group homomorphisms f: G \longrightarrow G.
    Last edited by NonCommAlg; June 8th 2010 at 11:46 AM.
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