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Next: Exercise 2. Up: Quiz3 Previous: Formulas.

Exercise 1.

In this exercise, detailed and precise explanations are required. As expected, we consider the field $ \mbox{${\mathbb K}$}$ = $ \mbox{${\mathbb Z}$}$/17$ \mbox{${\mathbb Z}$}$.
  1. Show that 3 is in $ \mathbb {K}$ a primitive 16-th root of unity.
  2. Find all primitive 4-th roots of unity in $ \mathbb {K}$.

Answer 1  
\fbox{
\begin{minipage}{13 cm}
\mbox{ } \\
\mbox{ } \\
\mbox{ } \\
\mbox{ } \...
...\mbox{ } \\
\mbox{ } \\
\mbox{ } \\
\mbox{ } \\
\mbox{ } \\
\end{minipage}}

Answer 2  
\fbox{
\begin{minipage}{13 cm}
\mbox{ } \\
\mbox{ } \\
\mbox{ } \\
\mbox{ } \...
...\mbox{ } \\
\mbox{ } \\
\mbox{ } \\
\mbox{ } \\
\mbox{ } \\
\end{minipage}}


next up previous
Next: Exercise 2. Up: Quiz3 Previous: Formulas.
Marc Moreno Maza
2006-01-09