Galois module structure of algebraic integers of the simplest cubic field

Hajime Ogawa, Miho Aoki

Let $L_n$ be a simplest cubic field with Galois group $G=\mathrm{Gal}({\mathrm{L}}_{\mathrm{n}}/\mathbb{Q})$. The associated order is denoted as ${\cal A}_{L_n/\mathbb Q}:= \{ x\in {\mathbb Q} [G] \, |\, x…