Abstract
If is a group, a pseudocharacter is a function which is “almost” a homomorphism. If admits a nontrivial pseudocharacter , we define the space of ends of relative to and show that if the space of ends is complicated enough, then contains a nonabelian free group. We also construct a quasi-action by on a tree whose space of ends contains the space of ends of relative to . This construction gives rise to examples of “exotic” quasi-actions on trees.
Citation
Jason Fox Manning. "Geometry of pseudocharacters." Geom. Topol. 9 (2) 1147 - 1185, 2005. https://doi.org/10.2140/gt.2005.9.1147
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