✦ LIBER ✦

On the Zℓ-Rank of Abelian Extensions with Restricted Ramification

✍ Scribed by Christian Maire

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 219 KB
Volume: 92
Category: Article
ISSN: 0022-314X
DOI: 10.1006/jnth.2001.2712

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✦ Synopsis

For a prime number a, we consider a-extensions k S of number fields k unramified outside a finite set S … S a of places of k, and we study the Z a -rank of the abelian part of k S /k and the number of relations of the Galois group G S :=Gal(k S /k).