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    Let G=Zp+Zp .How many automorphisms does G have?
    Please explain clearly the counting principle.

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    Solution Preview

    G=Zp+Zp, so each element in G has the form (a,b),where a,b are in Zp.
    G has two generators (1,0) and (0,1) since ...

    Solution Summary

    This shows how to find how many automorphisms a group has. The counting principle is explained.