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Ramification of Automorphisms ofk((t))

✍ Scribed by F Laubie; M Saı̈ne

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
346 KB
Volume
63
Category
Article
ISSN
0022-314X

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✦ Synopsis

Let k be a field of characteristic p and let # # Aut k (k((t))). For m 0 define i m =v t (# p m t&t)&1. We show that if p |3 i 0 is and i 1 <( p 2 & p+1) i 0 then there exists an integer b such that i m =i 0 +bp+bp 2 + } } } +bp m for all m 1. 1997 Academic Press 1 Ä Gal(K(#)ÂK) Ä Aut 1 (K(#)) Ä 1 Ä 1 splits exactly.

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