Abstract
We prove algebraic analogues of the facts that a curve on a surface with self-intersection number zero is homotopic to a cover of a simple curve, and that two simple curves on a surface with intersection number zero can be isotoped to be disjoint.
Citation
Peter Scott. Gadde A Swarup. "Splittings of groups and intersection numbers." Geom. Topol. 4 (1) 179 - 218, 2000. https://doi.org/10.2140/gt.2000.4.179
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