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.
- © 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