We extend the method of algebraic patching due to Haran-Jarden- Völklein from complete absolute valued fields to complete domains. We apply the extended method to reprove a result of Lefcourt obtained by formal patching - every finite group is regularly realizable over the quotient field of a complete domain.
Bibliographical noteFunding Information:
∗ This research stems from the author’s M.Sc. thesis in Tel-Aviv university, written under the supervision of Prof. Dan Haran. The research was supported by the Minkowski Center for Geometry at Tel Aviv University, established by the Minerva Foundation. Received December 15, 2006