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The Group of Automorphisms of the Function Fields of the Curvexn+ym+1=0

โœ Scribed by Aristides I. Kontogeorgis

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
390 KB
Volume
72
Category
Article
ISSN
0022-314X

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โœฆ Synopsis

We will study the group of automorphisms of the function fields of the curves x n + y m +1=0, for n{m. This groups is bigger than +(n)_+(m) in case m | n. If moreover n&1 is a power of the characteristic, then the group order exceeds the Hurwitz bound.

๐Ÿ“œ SIMILAR VOLUMES

Automorphisms of the Nottingham Group
Automorphisms of the Nottingham Group
โœ Benjamin Klopsch ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 143 KB

Let K be a finite field of characteristic p โ‰ฅ 5. The Nottingham group over K is the group of normalised automorphisms of the local field K t . In this paper we determine the automorphism group of ; in particular we show that every automorphism of the Nottingham group is standard. We also give a comp