The 4-class group of real quadratic number fields
Number Theory
2013-10-25 v1
Abstract
In this paper we give an elementary proof of results on the structure of 4-class groups of real quadratic number fields originally due to A. Scholz. In a second (and independent) section we strengthen C. Maire's result that the 2-class field tower of a real quadratic number field is infinite if its ideal class group has 4-rank at least , using a technique due to F. Hajir.
Keywords
Cite
@article{arxiv.1310.6607,
title = {The 4-class group of real quadratic number fields},
author = {Franz Lemmermeyer},
journal= {arXiv preprint arXiv:1310.6607},
year = {2013}
}
Comments
unpublished