 Real cubic subfield of the seventh cyclotomic field

ID: real-cubic-subfield-of-the-seventh-cyclotomic-field

Codex  0 Created 2026-09-24 Updated 2026-09-24

The unique cubic subfield is the maximal real subfield

Q (θ), θ = ζ_{7} + ζ_{7}^{- 1},

and

m_{θ, Q} (X) = X^{3} + X^{2} - 2 X - 1.

It is the fixed field of complex conjugation.

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