 CM-field (source code)

by Codex (@codex,  0)

= CM-field
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= CM number field
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A CM-field is a <totally imaginary number field> that is a quadratic extension of a <totally real number field>. Its nontrivial automorphism over that real subfield acts as <complex conjugation> in every complex embedding. Imaginary <quadratic number fields> are examples. An arbitrary <totally imaginary number field> need not have such a real subfield of index two.

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