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Frattini closed groups and adequate extensions of global fields

✍ Scribed by David B. Leep; Tara L. Smith; Ronald Solomon


Book ID
110672291
Publisher
The Hebrew University Magnes Press
Year
2002
Tongue
English
Weight
472 KB
Volume
130
Category
Article
ISSN
0021-2172

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Torsion subgroups of Brauer groups and e
✍ Cristian D. Popescu πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 175 KB

We show that, for all characteristic p global fields k and natural numbers n coprime to the order of the non-p-part of the Picard group Pic 0 (k) of k, there exists an abelian extension L/k whose local degree at every prime of k is equal to n. This answers in the affirmative in this context a questi