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Iwasawa invariants of abelian number fields

✍ Scribed by Bruce Ferrero

Book ID: 105184111
Publisher: Springer
Year: 1978
Tongue: English
Weight: 816 KB
Volume: 234
Category: Article
ISSN: 0025-5831
DOI: 10.1007/bf01409336

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Let k be a real abelian number field and p an odd prime. We give a criterion for the vanishing of the \*-invariant for the Z p -extension of k and apply it to give some examples of \*=0.

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Let p be a prime number and k a finite extension of Q: It is conjectured that the Iwasawa invariants l p ðkÞ and m p ðkÞ vanish for all p and totally real number fields k: Some methods to verify the conjecture for each real abelian field k are known, in which cyclotomic units and a set of auxiliary

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