My thesis deals with finding counterexamples to Lubin’s Conjecture. Lubin’s Conjecture states that for power series f, g with coefficients in Zp, and f invertible and non-torsion, g non-invertible, then if f ◦ g = g ◦ f , f , g are endomorphisms of a formal group over Zp. This conjecture connects formal power series over the ring of p-adic integers (Zp) to formal groups. In this paper I will explain the properties of Formal Groups, their endomorphisms and logarithms, and will illustrate some properties of power series over the rings Qp and Zp.
Identifer | oai:union.ndltd.org:CLAREMONT/oai:scholarship.claremont.edu:hmc_theses-1198 |
Date | 01 May 2007 |
Creators | Heald, Andrea |
Publisher | Scholarship @ Claremont |
Source Sets | Claremont Colleges |
Detected Language | English |
Type | text |
Format | application/pdf |
Source | HMC Senior Theses |
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