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Let $A = B \times C$ where $B$ and $C$ are cyclic of order $p$ and $p^2$ respectively, where $p$ a prime. How many endomorphisms are there? How many of these endomorphisms are automorphisms?

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Ideas, thoughts, tries, self effort...? –  DonAntonio Nov 7 '12 at 4:57
    
What @DonAntonio said. Can you find generators of $A$, and use facts relating generators to homomorphisms? –  Gerry Myerson Nov 7 '12 at 5:31

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