# zbMATH — the first resource for mathematics

$$\ell$$-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
Full Text:
##### References:
 [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
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.