Unit group of Q3 zeta3
= Unit group of Q3 zeta3
{title2=$\mathcal O_{\mathbb Q_3(\zeta_3)}^\times$}
For $K=\mathbb Q_3(\zeta_3)$, the element $\pi=\zeta_3-1$ is a <uniformizer> and
$$
\mathcal O_K^\times\cong\mu_6\times(\mathcal O_K,+).
$$
= Unit group of Q3 zeta3
{title2=$\mathcal O_{\mathbb Q_3(\zeta_3)}^\times$}
For $K=\mathbb Q_3(\zeta_3)$, the element $\pi=\zeta_3-1$ is a <uniformizer> and
$$
\mathcal O_K^\times\cong\mu_6\times(\mathcal O_K,+).
$$