$p$-adic Power Series which Commute under Composition
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- by Hua-Chieh Li PDF
- Trans. Amer. Math. Soc. 349 (1997), 1437-1446 Request permission
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 Lubinβs result about isogenies of formal groups.References
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- Jonathan Lubin, Non-Archimedean dynamical systems, Compositio Math. 94 (1994), no.Β 3, 321β346. MR 1310863
- Jonathan Lubin, One-parameter formal Lie groups over ${\mathfrak {p}}$-adic integer rings, Ann. of Math. (2) 80 (1964), 464β484. MR 168567, DOI 10.2307/1970659
- Jonathan Lubin, Finite subgroups and isogenies of one-parameter formal Lie groups, Ann. of Math. (2) 85 (1967), 296β302. MR 209287, DOI 10.2307/1970443
Additional Information
- Hua-Chieh Li
- Affiliation: Department of Mathematics, National Tsing Hua University, Hsinchu, Taiwan, R.O.C.
- Email: li@math.nthu.edu.tw
- Received by editor(s): June 24, 1994
- Received by editor(s) in revised form: March 22, 1995
- © Copyright 1997 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 349 (1997), 1437-1446
- MSC (1991): Primary 11S99; Secondary 11S31, 14L05
- DOI: https://doi.org/10.1090/S0002-9947-97-01514-6
- MathSciNet review: 1327259