English

Galois action on class groups

Number Theory 2007-05-23 v1

Abstract

It is well known that the Galois group of an extension puts constraints on the structure of the relative ideal class groups. Using only basic parts of the theory of group representations, we give a unified approach to such results.

Keywords

Cite

@article{arxiv.math/0205336,
  title  = {Galois action on class groups},
  author = {Franz Lemmermeyer},
  journal= {arXiv preprint arXiv:math/0205336},
  year   = {2007}
}