Flat bundles with solvable holonomy. II. Obstruction theory

William M. Goldman
1981 Proceedings of the American Mathematical Society  
Necessary and sufficient conditions for a connected solvable Lie group G axe given so that every flat principal G-bundle over a CW-complex is trivial after passing to a finite covering space.
doi:10.1090/s0002-9939-1981-0620007-7 fatcat:lgkj6ze4krf5hlvjgzzw22zdvm