# Automorphisms

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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 Summary

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

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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 ...

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