Arbitrary classes in >2-degree cohomology of a finite group with arbitrary coefficients may be trivialized in a finite extension

Abstract

The purpose of this note is to provide exposition for a proof of the statement in the title. This idea, that arbitrary cohomology classes (of high enough degree) of a finite group $G$ can be trivialized in a finite group extension, has been known to experts for some time.

16 pages, including appendix