The nonquadratic imaginary cyclic fields of 2-power degrees with class numbers equal to their genus class numbers

Louboutin, Stéphane

doi:10.1090/S0002-9939-99-04548-7

The nonquadratic imaginary cyclic fields of 2-power degrees with class numbers equal to their genus class numbers
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Proc. Amer. Math. Soc. 127 (1999), 355-361 Request permission

Abstract:

It is known that there are only finitely many imaginary abelian number fields with class numbers equal to their genus class numbers. Here, we determine all the imaginary cyclic fields of $2$-power degrees with class numbers equal to their genus class numbers.

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