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Maximal 2-Extensions with Restricted Ramification

โœ Scribed by Nigel Boston; David Perry

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
97 KB
Volume
232
Category
Article
ISSN
0021-8693

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โœฆ Synopsis

We compute the Galois groups of several 2-extensions of ramified at finitely many odd primes.

๐Ÿ“œ SIMILAR VOLUMES

On the Zโ„“-Rank of Abelian Extensions wit
On the Zโ„“-Rank of Abelian Extensions with Restricted Ramification
โœ Christian Maire ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 219 KB

For a prime number a, we consider a-extensions k S of number fields k unramified outside a finite set S โ€ฆ 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).