Computations of Iwasawa invariants and 𝐊 2

Alan Candiotti

Compositio Mathematica (1974)

  • Volume: 29, Issue: 1, page 89-111
  • ISSN: 0010-437X

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Candiotti, Alan. "Computations of Iwasawa invariants and $\mathbf {K}_2$." Compositio Mathematica 29.1 (1974): 89-111. <http://eudml.org/doc/89227>.

@article{Candiotti1974,
author = {Candiotti, Alan},
journal = {Compositio Mathematica},
language = {eng},
number = {1},
pages = {89-111},
publisher = {Noordhoff International Publishing},
title = {Computations of Iwasawa invariants and $\mathbf \{K\}_2$},
url = {http://eudml.org/doc/89227},
volume = {29},
year = {1974},
}

TY - JOUR
AU - Candiotti, Alan
TI - Computations of Iwasawa invariants and $\mathbf {K}_2$
JO - Compositio Mathematica
PY - 1974
PB - Noordhoff International Publishing
VL - 29
IS - 1
SP - 89
EP - 111
LA - eng
UR - http://eudml.org/doc/89227
ER -

References

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  1. [1] J. Coates: On K2 and Some Classical Conjectures in Algebraic Number Theory. Ann. of Math.95 (1972) 99-116. Zbl0245.12005MR360523
  2. [2] J. Coates and S. Lichtenbaum: On l-adic Zeta Functions. Ann. of Math.98 (1973) 498-550. Zbl0279.12005MR330107
  3. [3] H. Garland: A finiteness theorem for K2 of a number field. Ann. of Math.94 (1971) 534-548. Zbl0247.12103MR297733
  4. [4] R. Greenberg: On the Iwasawa invariants of totally real number fields (to appear in Amer. J. Math.). Zbl0334.12013MR401702
  5. [5] K. Iwasawa: A note on class numbers of algebraic number fields. Abh. Math. Sem. Univ. Hamburg, 20 (1956) 257-258. Zbl0074.03002MR83013
  6. [6] K. Iwasawa: On Γ-extensions of algebraic number fields. Bull. Amer. Math. Soc.65 (1959) 183-226. Zbl0089.02402
  7. [7] K. Iwasawa: On Zl-extensions of number fields. Ann. of Math.98 (1973) 246-326. Zbl0285.12008MR349627
  8. [8] J. Milnor: Introduction to Algebraic K-Theory. Annals of Mathematics Studies72. Princeton University Press, 1971. Zbl0237.18005MR349811
  9. [9] D. Quillen: Higher Algebraic K-theory I, Algebraic K-theory I, Battelle Institute Conference 1972. Lecture Notes in Mathematics341. Springer Verlag1973 pp. 85-147. Zbl0292.18004MR338129
  10. [10] A. Scholz: Uber die Beziehung der Klassenzahlen quadratischer Korper zueinander. Journal für die reine und angewandte Mathematik, 166 (1932) 201-203. Zbl0004.05104JFM58.0181.05
  11. [11] J. Tate: Symbols in arithmetic. Actes du Congres International des Mathematiciens, Nice (1970) I, 201-211. Zbl0229.12013MR422212
  12. [12] J. Tate and H. Bass: The Milnor ring of a global field in Algebraic K-theory II. Battelle Institute Conference 1972, Lecture Notes in Mathematics342. Springer Verlag, 1973, p. 436. Zbl0299.12013MR442061
  13. [13] J. Tate: Letter from Tate to Iwasawa on a relation between K2 and Galois cohomology, in Algebraic K-Theory II, Battelle Institute Conference 1972. Lecture Notes in Mathematics342. Springer Verlag, 1973, pp. 524-527. Zbl0284.12004MR429836

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