Cohomology groups of units in $ℤ^d_p$-extensions

ArticleOriginal scientific text

Title

Authors ¹

Department of Mathematics, The Ohio State University, 231 West 18th Avenue, Columbus, Ohio 43210, U.S.A.

J. W. S. Cassels and A. Fröhlich (eds.), Algebraic Number Theory, Academic Press, 1967.
R. Greenberg, The Iwasawa invariants of Γ-extensions of a fixed number field, Amer. J. Math. 95 (1973), 204-214.
R. Greenberg, On the structure of certain Galois groups, Invent. Math. 47 (1978), 85-99.
K. Iwasawa, On $Z_{l}$ -extensions of algebraic number fields, Ann. of Math. 98 (1973), 246-326.
K. Iwasawa, On cohomology groups of units for $Z_{p}$ -extensions, Amer. J. Math. 105 (1983), 189-200.
S. Lang, Cyclotomic Fields, I and II, Springer, 1990.
H. Matsumura, Commutative Algebra, Math. Lecture Note Ser. 56, Benjamin// Cummings, 1980.
P. Monsky, On p-adic power series, Math. Ann. 255 (1981), 217-227.
K. Rubin, The 'main conjecture' of Iwasawa theory for imaginary quadratic fields, Invent. Math. 103 (1991), 25-68.
S. Shatz, Profinite Groups, Arithmetic, and Geometry, Princeton Univ. Press, 1972.
L. Washington, Introduction to Cyclotomic Fields, Springer, 1982.
J.-P. Wintenberger, Structure galoisienne de limites projectives d'unités locales, Compositio Math. 42 (1981), 89-103.