New York Journal of Mathematics
Volume 12 (2006) 219-233


David J. Schmitz

Endomorphism rings of almost full formal groups

Published: August 27, 2006
Keywords: p-adic formal groups, endomorphism rings
Subject: 11S31, 14L05

Let \ring{K} be the integral closure of Zp in a finite field extension K of Qp, and let F be a one-dimensional full formal group defined over \ring{K}. We study certain finite subgroups C of F and prove a conjecture of Jonathan Lubin concerning the absolute endomorphism ring of the quotient F/C when F has height 2. We also investigate ways in which this result can be generalized to p-adic formal groups of higher height.

Author information

Department of Mathematics, North Central College, 30 N Brainard St, Naperville, IL 60540