Vol. 10, No. 8, 2016

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The local lifting problem for $A_4$

Andrew Obus

Vol. 10 (2016), No. 8, 1683–1693
Abstract

We solve the local lifting problem for the alternating group A4, thus showing that it is a local Oort group. Specifically, if k is an algebraically closed field of characteristic 2, we prove that every A4-extension of k[[s]] lifts to characteristic zero.

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Keywords
local lifting problem, Oort group, Artin–Schreier extension
Mathematical Subject Classification 2010
Primary: 14H37
Secondary: 12F10, 13B05, 14B12
Milestones
Received: 17 February 2016
Revised: 27 June 2016
Accepted: 31 July 2016
Published: 7 October 2016
Authors
Andrew Obus
Department of Mathematics
University of Virginia
141 Cabell Drive
Charlottesville, VA 22904
United States