Greenberg's conjecture and cyclotomic towers

Details Greenberg's conjecture and cyclotomic towers Greenberg's conjecture and cyclotomic towers

2001-09-25

arxiv.org/abs/math/0109229v1

Mathematics

Number Theory

Scientific paper

We describe Greenberg's pseudo-null conjecture, and prove a result describing
conditions under which the pseudo-null conjecture for a number field $K$
implies the conjecture for finite extensions of $K$. We then apply the result
to the cyclotomic $\mathbb{Z}_p$-tower above a cyclotomic field of prime roots
of unity, verifying the conjecture for a large class of cyclotomic fields.

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