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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Number fields with prescribed $l$-class groups
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by Frank Gerth PDF
Proc. Amer. Math. Soc. 49 (1975), 284-288 Request permission

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 $G$.
References
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Additional Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 49 (1975), 284-288
  • MSC: Primary 12A35; Secondary 12A50
  • DOI: https://doi.org/10.1090/S0002-9939-1975-0366871-8
  • MathSciNet review: 0366871