English

Class group of real cyclotomic fields

Number Theory 2021-03-15 v2

Abstract

In this article, we prove that every finite abelian group GG of odd order occurs as a subgroup of the class group of infinitely many real cyclotomic fields.

Keywords

Cite

@article{arxiv.2009.00213,
  title  = {Class group of real cyclotomic fields},
  author = {Mohit Mishra},
  journal= {arXiv preprint arXiv:2009.00213},
  year   = {2021}
}

Comments

The result of this article has been improved in a joint work with Lawrence Wahington and Rene Schoof

R2 v1 2026-06-23T18:13:44.626Z