Groups and FieldsSuperchallengeFinite Fields ShareFinite Fields · Superchallenge problemHow many α∈F36\alpha\in\mathbb F_{3^6}α∈F36 satisfy F3(α)=F36\mathbb F_3(\alpha)=\mathbb F_{3^6}F3(α)=F36 (that is, α\alphaα lies in no proper subfield)?Check Show answer Walk through it step by step Practice more like this Review this concept