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The local lifting problem for ( ℤ / 2 ℤ ) 3

Year: 2025
Type: article
Abstract: Let k be an algebraically closed field of characteristic 2 . In this paper we describe the ( ℤ / 2 ℤ ) 3 -actions on k [ [ z ] ] for which there is a discrete valuation ring R , a finite extension of the ring of Witt vectors W ( k ) , such that they can be lifted as a group of R -automorphisms of R [ [ Z ] ] . In fact the necessary and sufficient condition for such an action to lift involves only the conductor type of the corresponding extension.
Language: English
Open Access status: diamond
OpenAlex ID: W4416741066
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Cites: 12
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