On the Iwasawa invariants of certain p -extensions

J. Carroll; H. Kisilevsky

Compositio Mathematica (1983)

  • Volume: 49, Issue: 2, page 217-229
  • ISSN: 0010-437X

How to cite


Carroll, J., and Kisilevsky, H.. "On the Iwasawa invariants of certain $\mathbb {Z}_p$-extensions." Compositio Mathematica 49.2 (1983): 217-229. <http://eudml.org/doc/89611>.

author = {Carroll, J., Kisilevsky, H.},
journal = {Compositio Mathematica},
keywords = {semi-simple Iwasawa module; -extension; Galois group of maximal Abelian unramified -extension},
language = {eng},
number = {2},
pages = {217-229},
publisher = {Martinus Nijhoff Publishers},
title = {On the Iwasawa invariants of certain $\mathbb \{Z\}_p$-extensions},
url = {http://eudml.org/doc/89611},
volume = {49},
year = {1983},

AU - Carroll, J.
AU - Kisilevsky, H.
TI - On the Iwasawa invariants of certain $\mathbb {Z}_p$-extensions
JO - Compositio Mathematica
PY - 1983
PB - Martinus Nijhoff Publishers
VL - 49
IS - 2
SP - 217
EP - 229
LA - eng
KW - semi-simple Iwasawa module; -extension; Galois group of maximal Abelian unramified -extension
UR - http://eudml.org/doc/89611
ER -


  1. [1] A. Brummer: On the Units of Algebraic Number Fields. Mathematika14 (1967) 121-124. Zbl0171.01105MR220694
  2. [2] R. Greenberg: On a certain p-adic representation. Inventiones Math. 21 (1973) 117-124. Zbl0268.12004MR335468
  3. [3] K. Iwasawa: On Zp-extensions of Algebraic Number Fields. Annals of Math., ser (2) 1973 (98) 187-326. Zbl0285.12008MR349627
  4. [4] J. Carroll and H. Kisilevsky: On Iwasawa's λ Invariant for Certain Zp-extensions. Acta Arithmetica, XL (1981) 1-8. Zbl0496.12005
  5. [5] J.F. Jaulent: Sur la théorie des genres dans une extension procyclique métabelienne sur un sous corps. To appear. Zbl0493.12014
  6. [6] H. Kisilevsky: Some Non-Semi-Simple Iwasawa Modules. To appear in Comp. Math. 49 (1983) vol. 3. Zbl0517.12004

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