Some questions on the class group of cyclotomic fields

Roland Queme

Some questions on the class group of cyclotomic fields

Number Theory 2007-05-23 v3

Authors: Roland Queme

Abstract

This article deals with a study of the structure of the class group of the cyclotomic field $K=\Q(\zeta_p)$ for $p$ an odd prime number, starting from Stickelberger relation. The present state of this work leads me to set a question for all the prime numbers $h\not=p$ which divide the relative class number $h^-(K)$ .

Keywords

class number of quadratic fields finite groups

Cite

@article{arxiv.math/0703112,
  title  = {Some questions on the class group of cyclotomic fields},
  author = {Roland Queme},
  journal= {arXiv preprint arXiv:math/0703112},
  year   = {2007}
}

Comments

The title is modified. The section 4 is removed because it contains an irrecoverable error: It is not possible to use epsilon_chi U_p instead of epsilon_chi U. The section 4 is consequently removed

Some questions on the class group of cyclotomic fields

Abstract

Keywords

Cite

Comments

Related papers