When is a -adic power series
an endomorphism of a formal group?
Author: Hua-Chieh Li
Journal: Proc. Amer. Math. Soc. 124 (1996), 2325-2329
MSC (1991): Primary 11S99; Secondary 11S31, 14L05
MathSciNet review: 1322933
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Abstract: If is a noninvertible endomorphism of a formal group, then we have that commutes with an invertible series and is Galois over for all . We shall prove that the converse of this statement is also true.
- N. Koblitz, -adic numbers, -adic analysis, and zeta-functions, Springer-Verlag, New York, 1977. MR 57:5964
- J. Lubin, Nonarchimedean dynamical systems, Compositio Math. 94 (1994), 321--346. CMP 95:06
Affiliation: Department of Mathematics, Brown University, Providence, Rhode Island 02912
Address at time of publication: Department of Mathematics, National Tsin Hua University, Hsin Chu, Taiwan, R.O.C.
Received by editor(s): June 25, 1994
Received by editor(s) in revised form: February 9, 1995
Communicated by: William W. Adams
Article copyright: © Copyright 1996 American Mathematical Society