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Proceedings of the American Mathematical Society

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



Number fields with prescribed $ l$-class groups

Author: Frank Gerth
Journal: Proc. Amer. Math. Soc. 49 (1975), 284-288
MSC: Primary 12A35; Secondary 12A50
MathSciNet review: 0366871
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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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Keywords: Ideal class group, $ l$-class group, elementary abelian $ l$-group
Article copyright: © Copyright 1975 American Mathematical Society