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On circular units over the cyclotomic ℤp-Extension of an abelian field

✍ Scribed by Soogil Seo

Publisher
Springer
Year
2004
Tongue
English
Weight
117 KB
Volume
115
Category
Article
ISSN
0025-2611

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Let p be a fixed odd prime number and k an imaginary abelian field containing a primitive p th root `p of unity. Let k Âk be the cyclotomic Z p -extension and LÂk the maximal unramified pro-p abelian extension. We put where E is the group of units of k . Let X=Gal(LÂk ) and Y=Gal(L & NÂk ), and let