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Geometry of pseudocharacters | Jason Fox Manning
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31 Mar 2003 | Journal: | Geom. Topol. 9(2005) 1147-1185 | Subject: | Group Theory MSC-class: 57M07, 05C05, 20J06 | math.GR | Abstract: | If G is a group, a pseudocharacter f: G-->R is a function which is "almost" a homomorphism. If G admits a nontrivial pseudocharacter f, we define the space of ends of G relative to f and show that if the space of ends is complicated enough, then G contains a nonabelian free group. We also construct a quasi-action by G on a tree whose space of ends contains the space of ends of G relative to f. This construction gives rise to examples of "exotic" quasi-actions on trees. | Source: | arXiv, math.GR/0303380 | Services: | Forum | Review | PDF | Favorites |
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