Greenberg's conjecture and cyclotomic towers
Number Theory
2007-05-23 v1
Abstract
We describe Greenberg's pseudo-null conjecture, and prove a result describing conditions under which the pseudo-null conjecture for a number field implies the conjecture for finite extensions of . We then apply the result to the cyclotomic -tower above a cyclotomic field of prime roots of unity, verifying the conjecture for a large class of cyclotomic fields.
Cite
@article{arxiv.math/0109229,
title = {Greenberg's conjecture and cyclotomic towers},
author = {David C. Marshall},
journal= {arXiv preprint arXiv:math/0109229},
year = {2007}
}