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Exercise 2.8 (Solutions)

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$G=\{0,1\}$ is shown in the adjoining table. \[ \begin{array}{|c|c|c|} \hline \oplus & 0 & 1 \\ \hlin... able, show that the set is an Abelian group? \[ \begin{array}{|c|c|c|c|c|} \hline \oplus & 0 & 1 & 2 ... is set? Show that this set is Abelian group. \[ \begin{array}{|c|c|c|} \hline \oplus & E & O \\ \hli... \left\{ 1,\omega ,{{\omega }^{2}} \right\}$. \[ \begin{array}{|c|c|c|c|} \hline \times & 1 & \omega &