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The unitary group over the integers of an unramified local field

✍ Scribed by Chan-nan Chang

Publisher: Elsevier Science
Year: 1974
Tongue: English
Weight: 622 KB
Volume: 30
Category: Article
ISSN: 0021-8693
DOI: 10.1016/0021-8693(74)90222-1

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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