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<p>Let <i>G</i> be a finite abelian group. We prove that there exists a positive density subfamily of real cyclotomic fields whose ideal class groups contain a subgroup isomorphic to <i>G</i>.</p>

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Ideal class groups of real cyclotomic fields

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年1月30日

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  • Dongho Byeon

摘要

Let G be a finite abelian group. We prove that there exists a positive density subfamily of real cyclotomic fields whose ideal class groups contain a subgroup isomorphic to G.