Sen’s theorem on iteration of power series
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- by Jonathan Lubin
- Proc. Amer. Math. Soc. 123 (1995), 63-66
- DOI: https://doi.org/10.1090/S0002-9939-1995-1215030-8
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Abstract:
In the group of continuous automorphisms of the field of Laurent series in one variable over a field of characteristic $p > 0$, Sen’s Theorem describes the rapidity of convergence to the identity of the sequence formed by taking successive pth powers of a given element. This paper gives a short proof of Sen’s Theorem, utilizing the methods of p-adic analysis in characteristic zero.References
- Kevin Keating, Automorphisms and extensions of $k((t))$, J. Number Theory 41 (1992), no. 3, 314–321. MR 1168991, DOI 10.1016/0022-314X(92)90130-H
- Shankar Sen, On automorphisms of local fields, Ann. of Math. (2) 90 (1969), 33–46. MR 244214, DOI 10.2307/1970680
Bibliographic Information
- © Copyright 1995 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 123 (1995), 63-66
- MSC: Primary 11S31
- DOI: https://doi.org/10.1090/S0002-9939-1995-1215030-8
- MathSciNet review: 1215030