Open Access Senior Thesis
Bachelor of Science
Ghassan Sarkis (Pomona)
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.
Heald, Andrea, "Understanding Counterexamples to Lubin's Conjecture" (2007). HMC Senior Theses. 195.