Homology, Homotopy and Applications

Volume 6 (2004)

Number 1

Class 2 Galois representations of Kummer type

Pages: 351 – 362

DOI: https://dx.doi.org/10.4310/HHA.2004.v6.n1.a19

Author

Hans Opolka (TU Braunschweig, Germany)

Abstract

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.

Keywords

Galois cohomology, projective representations

2010 Mathematics Subject Classification

11R34, 20C25

Published 1 January 2004