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http://yadda.icm.edu.pl:80/baztech/element/bwmeta1.element.baztech-article-PWA3-0022-0004

Czasopismo

Demonstratio Mathematica

Tytuł artykułu

Divisibility of orders of K2 groups associated to quadratic fields

Autorzy Kimura, I. 
Treść / Zawartość https://www.degruyter.com/view/j/dema
Warianty tytułu
Języki publikacji EN
Abstrakty
EN We discuss some divisibility results of orders of K-groups and cohomology groups associated to quadratic fields.
Słowa kluczowe
PL grupy   podzielność   pola podziału koła   pola kwadratowe  
EN groups   cyclotomic fields   quadratic fields   divisibility   higher class number  
Wydawca De Gruyter
Czasopismo Demonstratio Mathematica
Rocznik 2006
Tom Vol. 39, nr 2
Strony 277--284
Opis fizyczny Bibliogr. 22 poz.
Twórcy
autor Kimura, I.
Bibliografia
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[6] H. Cohen and H. W. Lenstra, Jr. Heuristics on class groups of number fields, In Number theory, Noordwijkerhout 1983 (Noordwijkerhout, 1983), pages 33–62. Springer, Berlin, 1984.
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[9] M. Kolster, Higher relative class number formulae, Math. Ann. 323(4) (2002), 667–692.
[10] M. Kurihara, Some remarks on conjectures about cyclotomic fields and K-groups of Z, Compositio Math. 81(2) (1992), 223–236.
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[12] B. Mazur and A. Wiles, Class fields of abelian extensions of Q, Invent. Math. 76(2) (1984), 179–330.
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[16] C. Soule, On the 3-torsion in K4(Z), Topology 39(2) (2000), 259–265.
[17] K. Soundararajan, Divisibility of class numbers of imaginary quadratic fields, J. London Math. Soc. (2) 61(3) (2000), 681–690.
[18] J. Urbanowicz, On the divisibility of generalized Bernoulli numbers, In Applications of algebraic K-theory to algebraic geometry and number theory, Part I, II (Boulder, Colo., 1983), volume 55 of Contemp. Math., pages 711–728. Amer. Math. Soc., Providence, RI, 1986.
[19] L. C. Washington, Introduction to Cyclotomic Fields, Springer-Verlag, New York, second edition, 1997.
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