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Class groups of real cyclotomic fields

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Abstract

We prove that every finite abelian group G occurs as a subgroup of the class group of infinitely many real cyclotomic fields.

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Acknowledgements

The first author’s work was partially supported by Infosys grant. He would like to thank his advisor Prof. K. Chakraborty for his constant support and guidance.

Funding

Funding was provided by Infosys Foundation.

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Authors and Affiliations

  1. Harish-Chandra Research Institute, HBNI, Chhatnag Road, Jhunsi, Allahabad, 211 019, India

    Mohit Mishra

  2. Dipartimento di Matematica, Università di Roma “Tor Vergata”, Via della Ricerca Scientifica, I-00133, Roma, Italy

    Rene Schoof

  3. Department of Mathematics, University of Maryland, College Park, MD, 20742, USA

    Lawrence C. Washington

Authors
  1. Mohit Mishra
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  2. Rene Schoof
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  3. Lawrence C. Washington
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Corresponding author

Correspondence to Lawrence C. Washington.

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Communicated by John S. Wilson.

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Mishra, M., Schoof, R. & Washington, L.C. Class groups of real cyclotomic fields. Monatsh Math 195, 489–496 (2021). https://doi.org/10.1007/s00605-020-01499-0

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  • DOI: https://doi.org/10.1007/s00605-020-01499-0

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