Carroll, J.; Kisilevsky, H. On the Iwasawa invariants of certain \(\mathbb Z_p\)-extensions. (English) Zbl 0517.12003 Compos. Math. 49, 217-229 (1983). Reviewer: Charles J. Parry (Blacksburg) Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 3 Documents MSC: 11R23 Iwasawa theory 11R18 Cyclotomic extensions 11S15 Ramification and extension theory 11R32 Galois theory Keywords:semi-simple Iwasawa module; \(\mathbb Z_p\)-extension; Galois group of maximal Abelian unramified \(p\)-extension PDF BibTeX XML Cite \textit{J. Carroll} and \textit{H. Kisilevsky}, Compos. Math. 49, 217--229 (1983; Zbl 0517.12003) Full Text: Numdam EuDML References: [1] A. Brummer : On the Units of Algebraic Number Fields . Mathematika 14 (1967) 121-124. · Zbl 0171.01105 · doi:10.1112/S0025579300003703 [2] R. Greenberg : On a certain p-adic representation . Inventiones Math. 21 (1973) 117-124. · Zbl 0268.12004 · doi:10.1007/BF01389691 · eudml:142221 [3] K. Iwasawa : On Zp-extensions of Algebraic Number Fields . Annals of Math., ser (2) 1973 (98) 187-326. · Zbl 0285.12008 · doi:10.2307/1970784 [4] J. Carroll and H. Kisilevsky : On Iwasawa’s \lambda Invariant for Certain Zp-extensions . Acta Arithmetica, XL (1981) 1-8. · Zbl 0496.12005 · eudml:205794 [5] J.F. Jaulent : Sur la théorie des genres dans une extension procyclique métabelienne sur un sous corps . To appear. [6] H. Kisilevsky : Some Non-Semi-Simple Iwasawa Modules . To appear in Comp. Math. 49 (1983) vol. 3. · Zbl 0517.12004 · numdam:CM_1983__49_3_399_0 · eudml:89616 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.