### Orientation-reversing homeomorphisms in surface geography.

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We give a simple proof of a result originally due to Dimca and Suciu: a group that is both Kähler and the fundamental group of a closed three-manifold is finite. We also prove that a group that is both the fundamental group of a closed three-manifold and of a non-Kähler compact complex surface is $\mathbb{Z}$ or $\mathbb{Z}\oplus {\mathbb{Z}}_{2}$.

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