Linear relations of four conjugates of an algebraic number

Ž. Baronėnas, P. Drungilas, J. Jankauskas

We characterize all algebraic numbers $\alpha$ of degree $d\in \{4,5,6,7\}$ for which there exist four distinct algebraic conjugates ${\alpha }_1$, ${\alpha }_2$, ${\alpha }_3$, ${\alpha }_4$ of $\alpha$ satisfying the rela…