Initial layers of Z l -extensions of complex quadratic fields

J. E. Carroll; H. Kisilevsky

Compositio Mathematica (1976)

  • Volume: 32, Issue: 2, page 157-168
  • ISSN: 0010-437X

How to cite

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Carroll, J. E., and Kisilevsky, H.. "Initial layers of $Z_l$-extensions of complex quadratic fields." Compositio Mathematica 32.2 (1976): 157-168. <http://eudml.org/doc/89286>.

@article{Carroll1976,
author = {Carroll, J. E., Kisilevsky, H.},
journal = {Compositio Mathematica},
language = {eng},
number = {2},
pages = {157-168},
publisher = {Noordhoff International Publishing},
title = {Initial layers of $Z_l$-extensions of complex quadratic fields},
url = {http://eudml.org/doc/89286},
volume = {32},
year = {1976},
}

TY - JOUR
AU - Carroll, J. E.
AU - Kisilevsky, H.
TI - Initial layers of $Z_l$-extensions of complex quadratic fields
JO - Compositio Mathematica
PY - 1976
PB - Noordhoff International Publishing
VL - 32
IS - 2
SP - 157
EP - 168
LA - eng
UR - http://eudml.org/doc/89286
ER -

References

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  1. [1] Candiotti, ALAN: Thesis, Harvard University, 1973. 
  2. [2] Carroll, J.E.: On Determining the Quadratic Subfields of Z 2-extensions of Complex Quadratic Fields. Compositio Mathematica,30 (1975) 259-271. Zbl0314.12005MR374082
  3. [3] Coates, John: On K2 and some Classical Conjectures in Algebraic Number Theory. Annals of Math.95 (1972) 99-116. Zbl0245.12005MR360523
  4. [4] Greenberg, R.: On the Iwasawa Invariants of Totally Real Number Fields (to appear). Zbl0334.12013MR401702
  5. [5] Hasse, H.: Zahlentheorie, Akademie-Verlag, 1949. Zbl0035.02002MR34400
  6. [6] Iwasawa, K.: On Zl-extensions of Algebraic Number Fields. Annals of Math., series 2 (1973) (98) 187-326. Zbl0285.12008MR349627
  7. [7] Iwasawa, K.: A Note on the Class Numbers of Algebraic Number Fields. Abh. Math. Sem. Univ. Hamburg, 20 (1956) 257-58. Zbl0074.03002MR83013
  8. [8] Mazur, B.: private correspondence. 
  9. [9] Serre, J.P.: Classes des Corps Cyclotomiques. Seminaire Bourbaki, Dec. 1958. Zbl0119.27603
  10. [10] Scholz, A.: Idealklassen und Einheiten in Kubischen Körper. Monatsh. Math. Phys.30 (1933) 211-222. Zbl0007.00301JFM59.0194.03

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