Algebraic patching over complete domains

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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.

Original languageEnglish
Pages (from-to)185-219
Number of pages35
JournalIsrael Journal of Mathematics
StatePublished - Aug 2008
Externally publishedYes

Bibliographical note

Funding 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


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