Finite subgroups of the birational automorphism group are 'almost' nilpotent of class at most two
Abstract
We call a group G nilpotently Jordan of class at most c (c∈N) if there exists a constant J∈Z+ such that every finite subgroup H≤q G contains a nilpotent subgroup K≤q H of class at most c and index at most J. We show that the birational automorphism group of a variety over a field of characteristic zero is nilpotently Jordan of class at most two.
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