I know that ${\rm Aut} (\Bbb Z/p \times \Bbb Z/p)$ is $2\times 2$ invertible matrix with all possible entries mod $p$. I was asked to count how many elements in this group, but it gets complicated as I tried to count by dividing into several cases. How can I go about it?
2026-03-29 06:47:37.1774766857
What is the order of the group ${\rm Aut} (\Bbb Z/p \times \Bbb Z/p)?$
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