Greenberg's conjecture and units in multiple Z_p-extensions, by William G. McCallum
In this paper we prove Greenberg's pseudo-null conjecture for the
field of p-th roots of unity in the case that p exactly divides the
class number and the index of the global units in the local units.
We also generalize to the case of multiple Z_p-extensions a theorem
of Iwasawa on the Kummer extension of the cyclotomic Z_p-extension
generated by p-power roots of units .
William G. McCallum <firstname.lastname@example.org>