# Automorphisms

Let G=Zp+Zp .How many automorphisms does G have?

Please explain clearly the counting principle.

https://brainmass.com/math/linear-transformation/automorphisms-group-31112

#### 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.

$2.19