Computing Iwasawa modules of real quadratic number fields

James S. Kraft; René Schoof

Compositio Mathematica (1995)

  • Volume: 97, Issue: 1-2, page 135-155
  • ISSN: 0010-437X

How to cite


Kraft, James S., and Schoof, René. "Computing Iwasawa modules of real quadratic number fields." Compositio Mathematica 97.1-2 (1995): 135-155. <>.

author = {Kraft, James S., Schoof, René},
journal = {Compositio Mathematica},
keywords = {effective computation; Iwasawa modules; real quadratic fields; Greenberg's conjecture},
language = {eng},
number = {1-2},
pages = {135-155},
publisher = {Kluwer Academic Publishers},
title = {Computing Iwasawa modules of real quadratic number fields},
url = {},
volume = {97},
year = {1995},

AU - Kraft, James S.
AU - Schoof, René
TI - Computing Iwasawa modules of real quadratic number fields
JO - Compositio Mathematica
PY - 1995
PB - Kluwer Academic Publishers
VL - 97
IS - 1-2
SP - 135
EP - 155
LA - eng
KW - effective computation; Iwasawa modules; real quadratic fields; Greenberg's conjecture
UR -
ER -


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  5. [5] Greenberg, R.: A note on K2 and the theory of Zp-extensions, American J. of Math.100 (1978), 1235-1245. Zbl0408.12012MR522698
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  8. [8] Schoof, R.: Class numbers of Q(cos(2π/p)), in preparation. 
  9. [9] Schoof, R.: The structure of minus class groups of abelian number fields, 185-204, in C. Goldstein, Séminaire de Théorie de Nombres, Paris1988-1990, Progress in Math. 91, Birkhäuser1990. Zbl0719.11074MR1104706
  10. [10] Sinnott, W.: On the Stickelberger ideal and the circular units of an abelian field, Invent. Math.62 (1980), 181-234. Zbl0465.12001MR595586
  11. [11] Taya, H.: Computation of Z3-invariants of real quadratic fields, Math. Comp., to appear. Zbl0851.11062MR1333326
  12. [12] Washington, L.C.: Introduction to Cyclotomic Fields, Graduate Texts in Math.83, Springer-Verlag, Berlin, Heidelberg, New York1982. Zbl0484.12001MR718674

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