Upper bounds for an Iwasawa invariant

Frank Gerth, III

Compositio Mathematica (1979)

  • Volume: 39, Issue: 1, page 3-10
  • ISSN: 0010-437X

How to cite


Gerth, III, Frank. "Upper bounds for an Iwasawa invariant." Compositio Mathematica 39.1 (1979): 3-10. <http://eudml.org/doc/89414>.

author = {Gerth, III, Frank},
journal = {Compositio Mathematica},
keywords = {Galois Extension; Order of the Class Group; Iwasawa Invariants},
language = {eng},
number = {1},
pages = {3-10},
publisher = {Sijthoff et Noordhoff International Publishers},
title = {Upper bounds for an Iwasawa invariant},
url = {http://eudml.org/doc/89414},
volume = {39},
year = {1979},

AU - Gerth, III, Frank
TI - Upper bounds for an Iwasawa invariant
JO - Compositio Mathematica
PY - 1979
PB - Sijthoff et Noordhoff International Publishers
VL - 39
IS - 1
SP - 3
EP - 10
LA - eng
KW - Galois Extension; Order of the Class Group; Iwasawa Invariants
UR - http://eudml.org/doc/89414
ER -


  1. [1] B. Ferrero: Iwasawa invariants of abelian number fields. Dissertation, Princeton University, 1975. 
  2. [2] F. Gerth, Structure of l-class groups of certain number fields and Zl-extensions, Mathematika24 (1977) 16-33. Zbl0379.12005MR450232
  3. [3] R. Greenberg: The Iwasawa invariants of Γ-extensions of a fixed number field, Amer. J. Math., 95 (1973) 204-214. Zbl0268.12005
  4. [4] K. Iwasawa: On Zl-extensions of algebraic number fields, Ann. Math., 98 (1973), 246-326. Zbl0285.12008MR349627
  5. [5] H. Yokoi: on the class number of a relatively cyclic number field, Nagoya Math. J., 29 (1967), 31-44. Zbl0166.05803MR207681

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