Generalized Iwasawa invariants in a family

Albert A. Cuoco

Compositio Mathematica (1984)

  • Volume: 51, Issue: 1, page 89-103
  • ISSN: 0010-437X

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Cuoco, Albert A.. "Generalized Iwasawa invariants in a family." Compositio Mathematica 51.1 (1984): 89-103. <http://eudml.org/doc/89635>.

@article{Cuoco1984,
author = {Cuoco, Albert A.},
journal = {Compositio Mathematica},
keywords = {Iwasawa-Greenberg module; Iwasawa theory; decomposition of primes; class number; -extensions; -invariant},
language = {eng},
number = {1},
pages = {89-103},
publisher = {Martinus Nijhoff Publishers},
title = {Generalized Iwasawa invariants in a family},
url = {http://eudml.org/doc/89635},
volume = {51},
year = {1984},
}

TY - JOUR
AU - Cuoco, Albert A.
TI - Generalized Iwasawa invariants in a family
JO - Compositio Mathematica
PY - 1984
PB - Martinus Nijhoff Publishers
VL - 51
IS - 1
SP - 89
EP - 103
LA - eng
KW - Iwasawa-Greenberg module; Iwasawa theory; decomposition of primes; class number; -extensions; -invariant
UR - http://eudml.org/doc/89635
ER -

References

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  1. [1] Bourbaki, N.: Chapter VII, Commutative Algebra. Addison Wesley (1972). 
  2. [2] Cuoco, A. and Monsky, P.: Class numbers in Zdp-extensions. Math. Ann.255 (1981) 235-258. Zbl0437.12003MR614400
  3. [3] Cuoco, A.: The growth of Iwasawa's invariants in a family. Comp. Math.41 (1980) 415-437. Zbl0415.12002MR589090
  4. [4] Greenberg, R.: The Iwasawa invariants of r-extensions of a fixed number field. Am. J. of Math.95 (1973) 204-214. Zbl0268.12005MR332712
  5. [5] Greenberg, R.: On the structure of certain Galois groups. Inventiones Math.47 (1978) 85-89. Zbl0403.12004MR504453
  6. [6] Iwasawa, K.: On the μ-invariants of Zl-extensions. Number theory, Algebraic Geometry, and Commulative Algebra, in honor of Y. Akizuki, Kinokuniya, Tokyo, 1-11 (1973). Zbl0281.12005
  7. [7] Monsky, P.: On P-adic power series. Math. Ann.255 (1981) 217-227. Zbl0437.12016MR614398
  8. [8] Monsky, P.: Some invariants of Zdp-extensions. Math. Ann.255 (1981) 229-233. Zbl0437.12002MR614399

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