The purpose of this note is to give a description of class 2 representations of the absolute Galois group of a field $k$ of characteristic $0$ which satisfy a certain condition of Kummer type. This description is based on Galois cohomology and on the theory of projective representations of finite abelian groups.
Homology, Homotopy and Applications, Vol. 6(2004), No. 1, pp. 351-362
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