English

Class groups of real cyclotomic fields

Number Theory 2022-07-29 v3

Abstract

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

Keywords

Cite

@article{arxiv.2011.07409,
  title  = {Class groups of real cyclotomic fields},
  author = {Mohit Mishra and Rene Schoof and Lawrence C. Washington},
  journal= {arXiv preprint arXiv:2011.07409},
  year   = {2022}
}

Comments

This version corrects some small inaccuracies in the proof of Proposition 3

R2 v1 2026-06-23T20:13:35.171Z