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\(\ell\)-extensions of CM-fields and cyclotomic invariants. (English) Zbl 0455.12007

11R23 Iwasawa theory
11G15 Complex multiplication and moduli of abelian varieties
11R29 Class numbers, class groups, discriminants
11R80 Totally real fields
11R18 Cyclotomic extensions
Full Text: DOI
[1] Ferrero, B.; Washington, L., The Iwasawa invariant μp vanishes for abelian number fields, Ann. of math., 109, 377-395, (1979) · Zbl 0443.12001
[2] Ferrero, B., Iwasawa invariants of abelian number fields, Math. ann., 234, 9-24, (1978) · Zbl 0347.12004
[3] Gold, R., The nontriviality of certain zl-extensions, J. number theory, 6, 369-373, (1974) · Zbl 0288.12004
[4] Iwasawa, K., A note on the group of units of algebraic number field, J. math. pures appl., 35, 189-192, (1956) · Zbl 0071.26504
[5] Iwasawa, K., On the μ-invariants of zl-extensions, (), 1-11
[6] Iwasawa, K., On zl-extensions of algebraic number fields, Ann. of math., 98, 246-326, (1973) · Zbl 0285.12008
[7] Yokoi, H., On the class number of a relatively cyclic number field, Nagoya math. J., 29, 31-44, (1967) · Zbl 0166.05803
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