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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Flat bundles with solvable holonomy. II. Obstruction theory


Author: William M. Goldman
Journal: Proc. Amer. Math. Soc. 83 (1981), 175-178
MSC: Primary 55R10; Secondary 53C10
MathSciNet review: 620007
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Abstract: Necessary and sufficient conditions for a connected solvable Lie group $ G$ are given so that every flat principal $ G$-bundle over a $ {\text{CW}}$-complex is trivial after passing to a finite covering space.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1981-0620007-7
PII: S 0002-9939(1981)0620007-7
Keywords: Solvable Lie group, flat bundle, obstruction, fundamental group of a surface, finite covering space
Article copyright: © Copyright 1981 American Mathematical Society