%0 Journal Article
%T On the existence of representations of finitely presented groups in compact Lie groups
%A Kim A. Froyshov
%J Mathematics
%D 2013
%I arXiv
%X Given a finite, connected 2-complex $X$ such that $b_2(X)\le1$ we establish two existence results for representations of the fundamental group of $X$ into compact connected Lie groups $G$, with prescribed values on certain loops. If $b_2(X)=1$ we assume $G=SO(3)$ and that the cup product on the first rational cohomology group of $X$ is non-zero.
%U http://arxiv.org/abs/1304.0936v4