Number fields with prescribed 𝑙-class groups

Gerth, Frank

doi:10.1090/S0002-9939-1975-0366871-8

Number fields with prescribed $l$-class groups
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by Frank Gerth

Proc. Amer. Math. Soc. 49 (1975), 284-288

DOI: https://doi.org/10.1090/S0002-9939-1975-0366871-8

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Abstract:

Let $G$ be any finite elementary abelian $l$-group, where $l$ is a rational prime. We show that there exist infinitely many number fields whose $l$-class groups are isomorphic to $G$.

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