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The class groups of the imaginary Abelian number fields with Galois group (ℤ/2ℤ)n

Published online by Cambridge University Press:  17 April 2009

Jeoung-Hwan Ahn  and
Soun-Hi Kwon
Jeoung-Hwan Ahn
Affiliation:
Department of Mathematics Education, Korea University, 136–701, Seoul, Korea e-mail: [email protected], [email protected]
Soun-Hi Kwon
Affiliation:
Department of Mathematics Education, Korea University, 136–701, Seoul, Korea e-mail: [email protected], [email protected]
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Assuming the Generalised Riemann Hypothesis we determine all imaginary Abelian number fields N whose Galois group G(N/ℚ) is isomorphic to (ℤ/2ℤ)n for some integers n ≥ 1 and the square of every ideal of N is principal.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 70 , Issue 2 , October 2004 , pp. 267 - 277
Copyright
Copyright © Australian Mathematical Society 2004

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