English

The Gauss higher relative class number problem

Number Theory 2009-01-16 v2 K-Theory and Homology

Abstract

Assuming the 2-adic Iwasawa main conjecture, we find all CM fields with higher relative class number at most 16: there are at least 31 and at most 34 such fields, and exactly one is not abelian.

Keywords

Cite

@article{arxiv.0806.0306,
  title  = {The Gauss higher relative class number problem},
  author = {John Voight},
  journal= {arXiv preprint arXiv:0806.0306},
  year   = {2009}
}

Comments

10 pages

R2 v1 2026-06-21T10:46:34.937Z