Abstract
There exists a (relatively minimal) genus $g$ Lefschetz fibration with only one singular fiber over a closed (Riemann) surface of genus $h$ iff $g \geq 3$ and $h \geq 2$. The singular fiber can be chosen to be reducible or irreducible. Other results are that every Dehn twist on a closed surface of genus at least three is a product of two commutators and no Dehn twist on any closed surface is equal to a single commutator.
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