Greenberg's conjecture and cyclotomic towers
David C. Marshall
Abstract
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 Zp-tower above a cyclotomic field of prime roots of unity, verifying the conjecture for a large class of cyclotomic fields.
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