Vanishing of eigenspaces and cyclotomic fields
Number Theory
2021-02-03 v2
Abstract
We use a result of Thaine to give an alternative proof of the fact that, for a prime p>3 congruent to 3 modulo 4, the component e_{(p+1)/2} of the p-Sylow subgroup of the ideal class group of \mathbb Q(\zeta_{p}) is trivial.
Cite
@article{arxiv.math/0412242,
title = {Vanishing of eigenspaces and cyclotomic fields},
author = {Robert Osburn},
journal= {arXiv preprint arXiv:math/0412242},
year = {2021}
}
Comments
6 pages, minor corrections made, to appear in the International Mathematics Research Notices