deletions | additions       diff --git a/friends.tex b/friends.tex  index 673f5bb..b51a839 100644  --- a/friends.tex  +++ b/friends.tex 
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Another particular fact about these fields, is that exist elements whose powers cover all the non-zero elements of thield itself. As an example consider the elements $3$ and $5$ in $\ZZ_7$.  The powers of $3$ are  \[  3, \begin{align}  & 3 \\  &  3^2\equiv 9\ 2, 9\equiv 2\\  &  3^3\equiv 3^2\cdot 3\equiv 2\cdot 3\equiv 6 \] \end{align}