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

MSC:
11R23 Iwasawa theory
11G15 Complex multiplication and moduli of abelian varieties
11R29 Class numbers, class groups, discriminants
11R80 Totally real fields
11R18 Cyclotomic extensions
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[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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