Korean J. Math. Vol. 27 No. 3 (2019) pp.657-660
DOI: https://doi.org/10.11568/kjm.2019.27.3.657

Lifting of the unramified Iwasawa module

Main Article Content

Jangheon Oh

Abstract

We give necessary and sufficient condition for the Greenberg's generalized conjecture conjecture on certain imaginary quadratic fields.



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References

[1] T.Fukuda, Iwasawa λ-invariants of Imaginary Quadratic Fields, J. of the College of Industrial Technology, Nihon UNiv. 27 (1994), 35–86. Google Scholar

[2] J.Minardi, Iwasawa modules for Zdp-extensions of algebraic number fields, Ph.D dissertation, University of Washington, 1986. Google Scholar

[3] J.Oh, Construction of 3-Hilbert class field of certain imaginary quadratic fields, Proc. of The Japan Acad. Ser. A 86 (1) (2010), 18–19. Google Scholar