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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



$p$-adic power series which commute
under composition

Author: Hua-Chieh Li
Journal: Trans. Amer. Math. Soc. 349 (1997), 1437-1446
MSC (1991): Primary 11S99; Secondary 11S31, 14L05
MathSciNet review: 1327259
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Abstract | References | Similar Articles | Additional Information

Abstract: When two noninvertible series commute to each other, they have same set of roots of iterates. Most of the results of this paper will be concerned with the problem of which series commute with a given noninvertible series. Our main theorem is a generalization of Lubin's result about isogenies of formal groups.

References [Enhancements On Off] (What's this?)

  • 1. N. Koblitz, $p$-adic Numbers, $p$-adic Analysis, and Zeta-Functions, Springer-Verlag, New York, 1977. MR 57:5964
  • 2. J. Lubin, Nonarchimedean Dynamical Systems, Comp. Math. 94 (1994), pp. 321-346. MR 96g:11140
  • 3. J. Lubin, One-parameter Formal Lie Groups over $p$-adic Integer Rings, Ann. of Math. 80 (1964), pp. 464-484. MR 29:5827
  • 4. J. Lubin, Finite Subgroups and Isogenies of One-parameter Formal Lie Groups, Ann. of Math. 85 (1967), pp. 296-302. MR 35:189

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Additional Information

Hua-Chieh Li
Affiliation: Department of Mathematics, National Tsing Hua University, Hsinchu, Taiwan, R.O.C.

Received by editor(s): June 24, 1994
Received by editor(s) in revised form: March 22, 1995
Article copyright: © Copyright 1997 American Mathematical Society

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