Inside $G$, we have $H_1$, the stabilizer subgroup of $1$. By the Galois correspondence, an arithmetically equivalent field corresponds to a conjugacy class of subgroups with representative $H_2$ such that $$ |H_1 \cap C| = |H_2\cap C|$$ for every conjugacy class $C$ of $G$.
- Review status: beta
- Last edited by John Jones on 2020-10-11 20:05:47
Not referenced anywhere at the moment.