Graduation Year
2007
Document Type
Open Access Senior Thesis
Degree Name
Bachelor of Science
Department
Mathematics
Reader 1
Ghassan Sarkis (Pomona)
Reader 2
Michael Orrison
Abstract
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.
Recommended Citation
Heald, Andrea, "Understanding Counterexamples to Lubin's Conjecture" (2007). HMC Senior Theses. 195.
https://scholarship.claremont.edu/hmc_theses/195
