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• W3100369757 abstract "Let $ 1 rightarrow N rightarrow G rightarrow Q rightarrow 1$ be an exact sequence of finitely presented groups where Q is infinite and not virtually cyclic, and is the fundamental group of some closed 3-manifold. If G is Kaehler, we show that Q is either the 3-dimensional Heisenberg group or the fundamental group of the Cartesian product of a closed oriented surface of positive genus and the circle. As a corollary, we obtain a new proof of a theorem of Dimca and Suciu by taking N to be the trivial group, If G is the fundamental group of a compact complex surface, we show that Q must be the fundamental group of a Seifert-fibered space and G the fundamental group of an elliptic fibration. We also give an example showing that the relation of quasi-isometry does not preserve Kaehler groups. This gives a negative answer to a question of Gromov which asks whether Kaehler groups can be characterized by their asymptotic geometry." @default.
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• W3100369757 date "2012-10-08" @default.
• W3100369757 modified "2023-09-26" @default.
• W3100369757 title "3-MANIFOLD GROUPS, KÄHLER GROUPS AND COMPLEX SURFACES" @default.
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• W3100369757 doi "https://doi.org/10.1142/s0219199712500381" @default.
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