Patching and admissibility over two-dimensional complete local domains

Danny Neftin, Elad Paran

Research output: Contribution to journalArticlepeer-review


We develop a patching machinery over the field E D K((X, Y)) of formal power series in two variables over an infinite field K. We apply this machinery to prove that if K is separably closed and G is a finite group of order not divisible by char E, then there exists a G-crossed product algebra with center E if and only if the Sylow subgroups of G are abelian of rank at most 2.

Original languageEnglish
Pages (from-to)743-762
Number of pages20
JournalAlgebra and Number Theory
Issue number6
StatePublished - 2010
Externally publishedYes


  • Admissible groups
  • Complete local domains
  • Division algebras
  • Patching


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