Ramification theory of the p-adic open disc and the lifting problem
Brewis, Louis Hugo
FacultiesFakultät für Mathematik und Wirtschaftswissenschaften
LicenseStandard (Fassung vom 01.10.2008)
We study Galois covers of the p-adic open disc. In particular we introduce certain ramification invariants associated to such a cover. We then apply our results to answer a question of Chinburg, Guralnick and Harbater on liftability of generalized quaternion actions. We also study a problem of Matignon on the existence of liftable nonabelian p-groups. Our technique is based on perturbing lifts of Z/4Z Galois covers.
Subject HeadingsLifting theory [LCSH]