Is it possible, that $p^t$ (with a prime number $p \in \mathbb N$ and $t \in \mathbb N$) is a unit in an algebraic number field $K$ (e.g. a unit in the ring of integers $\mathcal O_K$) ? And if not, why it is not possible?
Thanks in advance,
David
Is it possible, that $p^t$ (with a prime number $p \in \mathbb N$ and $t \in \mathbb N$) is a unit in an algebraic number field $K$ (e.g. a unit in the ring of integers $\mathcal O_K$) ? And if not, why it is not possible?
Thanks in advance,
David