The growth of Iwasawa invariants in a family

Albert A. Cuoco

Compositio Mathematica (1980)

  • Volume: 41, Issue: 3, page 415-437
  • ISSN: 0010-437X

How to cite


Cuoco, Albert A.. "The growth of Iwasawa invariants in a family." Compositio Mathematica 41.3 (1980): 415-437. <>.

author = {Cuoco, Albert A.},
journal = {Compositio Mathematica},
keywords = {the growth of Iwasawa invariants; Zp-extensions},
language = {eng},
number = {3},
pages = {415-437},
publisher = {Sijthoff et Noordhoff International Publishers},
title = {The growth of Iwasawa invariants in a family},
url = {},
volume = {41},
year = {1980},

AU - Cuoco, Albert A.
TI - The growth of Iwasawa invariants in a family
JO - Compositio Mathematica
PY - 1980
PB - Sijthoff et Noordhoff International Publishers
VL - 41
IS - 3
SP - 415
EP - 437
LA - eng
KW - the growth of Iwasawa invariants; Zp-extensions
UR -
ER -


  1. [1] J.R. Bloom: On the Invariants of Some Zl-Extensions. California Institute of Technology Thesis (1977). 
  2. [2] N. Bourbaki: Chapter VII, §4. Commutative Algebra. Addison Wesley (1972). 
  3. [3] J.E. Carroll and H. Kisilevsky: On Iwasawa's λ-Invariant for Certain Zl-Extensions, (to appear). Zbl0496.12005
  4. [4] B. Ferrero and L. Washington: The Iwasawa Invariant μp Vanishes for Abelian Number Fields, Annals of Math.109 (March 1979) 377-395. Zbl0443.12001
  5. [5] R. Greenberg: The Iwasawa Invariants of Γ-Extensions of a Fixed Number Field. American Journal of Math.95 (1973) 204-214. Zbl0268.12005
  6. [6] R. Greenberg: On the Structure of Certain Galois Groups. Inventiones Mathematica47 (1978) 85-99. Zbl0403.12004MR504453
  7. [7] K. Iwasawa: On Γ-Extensions of Algebraic Number Fields. Bull. Amer. Math. Soc.65 (1959) 183-226. Zbl0089.02402
  8. [8] K. Iwasawa: On the μ-Invariants of Zl-Extensions. Number Theory, Algebraic Geometry, and Commutative Algebra, in Honor of Y. Akizuki, Kinokuniya, Tokyo, (1973) 1-11. Zbl0281.12005
  9. [9] K. Iwasawa: On Zl-Extensions of Algebraic Number Fields. Annals of Math.98 (1973) 246-326. Zbl0285.12008MR349627
  10. [10] J.-P. Serre: Classes des Corps Cyclotomiques. Seminaire Bourbaki, Expose 174 (1958-59). Zbl0119.27603

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