Abstract
When we consider the properties of the iterates of a noninvertible endomorphism of a formal group, all the roots of iterates of the endomorphism are simple and the full commuting family contains both invertible and noninvertible series. Experimental evidence seems to suggest that for an invertible series to commute with a noninvertible series with only simple roots of iterates, two such commuting power series must be endomorphisms of a single formal group. Lubin proposed four conjectures to support this conjecture. In this paper, we provide answers to these four conjectures.
| Original language | English |
|---|---|
| Pages (from-to) | 379-386 |
| Number of pages | 8 |
| Journal | Proceedings of the American Mathematical Society |
| Volume | 130 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2002 Jan 1 |
Fingerprint
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics
Cite this
On heights of p-ADIC dynamical systems. / Li, Hua Chieh.
In: Proceedings of the American Mathematical Society, Vol. 130, No. 2, 01.01.2002, p. 379-386.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - On heights of p-ADIC dynamical systems
AU - Li, Hua Chieh
PY - 2002/1/1
Y1 - 2002/1/1
N2 - When we consider the properties of the iterates of a noninvertible endomorphism of a formal group, all the roots of iterates of the endomorphism are simple and the full commuting family contains both invertible and noninvertible series. Experimental evidence seems to suggest that for an invertible series to commute with a noninvertible series with only simple roots of iterates, two such commuting power series must be endomorphisms of a single formal group. Lubin proposed four conjectures to support this conjecture. In this paper, we provide answers to these four conjectures.
AB - When we consider the properties of the iterates of a noninvertible endomorphism of a formal group, all the roots of iterates of the endomorphism are simple and the full commuting family contains both invertible and noninvertible series. Experimental evidence seems to suggest that for an invertible series to commute with a noninvertible series with only simple roots of iterates, two such commuting power series must be endomorphisms of a single formal group. Lubin proposed four conjectures to support this conjecture. In this paper, we provide answers to these four conjectures.
UR - http://www.scopus.com/inward/record.url?scp=0035994209&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0035994209&partnerID=8YFLogxK
U2 - 10.1090/S0002-9939-01-06166-4
DO - 10.1090/S0002-9939-01-06166-4
M3 - Article
AN - SCOPUS:0035994209
VL - 130
SP - 379
EP - 386
JO - Proceedings of the American Mathematical Society
JF - Proceedings of the American Mathematical Society
SN - 0002-9939
IS - 2
ER -