CM-fields with all roots of unity

Kuniaki Horie

Compositio Mathematica (1990)

  • Volume: 74, Issue: 1, page 1-14
  • ISSN: 0010-437X

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Horie, Kuniaki. "CM-fields with all roots of unity." Compositio Mathematica 74.1 (1990): 1-14. <http://eudml.org/doc/90011>.

@article{Horie1990,
author = {Horie, Kuniaki},
journal = {Compositio Mathematica},
keywords = {unramified solvable extensions; CM fields},
language = {eng},
number = {1},
pages = {1-14},
publisher = {Kluwer Academic Publishers},
title = {CM-fields with all roots of unity},
url = {http://eudml.org/doc/90011},
volume = {74},
year = {1990},
}

TY - JOUR
AU - Horie, Kuniaki
TI - CM-fields with all roots of unity
JO - Compositio Mathematica
PY - 1990
PB - Kluwer Academic Publishers
VL - 74
IS - 1
SP - 1
EP - 14
LA - eng
KW - unramified solvable extensions; CM fields
UR - http://eudml.org/doc/90011
ER -

References

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  1. [1] A. Brumer, The class group of all cyclotomic integers. J. Pure Appl. Algebra20 (1981) 107-111. Zbl0476.12006MR601678
  2. [2] K. Horie, On Iwasawa λ--invariants of imaginary abelian fields. J. Number Theory27 (1987) 238-252. Zbl0627.12005
  3. [3] K. Iwasawa, On solvable extensions of algebraic number fields. Ann. Math.58 (1953) 548-572. Zbl0051.26602MR59314
  4. [4] K. Iwasawa, A note on class numbers of algebraic number fields. Abh. Math. Sem. Univ. Hamburg20 (1956) 257-258. Zbl0074.03002MR83013
  5. [5] K. Iwasawa, On Zl-extensions of algebraic number fields. Ann. Math.98 (1973) 246-326. Zbl0285.12008MR349627
  6. [6] K. Iwasawa, Some remarks on Hecke characters. In: Algebraic Number Theory (Kyoto Int. Sympos., 1976), Tokyo, Japanese Soc. Promotion Sci., 1977, pp. 99-108. Zbl0364.12010MR466076
  7. [7] K. Iwasawa, Riemann-Hurwitz formula and p-adic Galois representations for number fields. Tôhoku Math. J.33 (1981) 263-288. Zbl0468.12004MR624610
  8. [8] J.-P. Serre, Cohomologie galoisienne (Lect. Notes Math., vol. 5). Berlin, Springer, 1964. Zbl0812.12002
  9. [9] K. Uchida, Galois groups of unramified solvable extensions. Tôhoku Math. J.34 (1982) 311-317. Zbl0502.12020MR664737
  10. [10] K. Wingberg, Duality theorems for Γ-extensions of algebraic number fields. Comp. Math.55 (1985) 338-381. Zbl0608.12012

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