We show that the Artin pure braid group Pn is not residually free for n ≥ 4. Our results also show that the corank of Pn is equal to 2 for n ≥ 3.
CITATION STYLE
Cohen, D. C., Falk, M., & Randell, R. (2012). Pure braid groups are not residually free. In Configuration Spaces: Geometry, Combinatorics and Topology (pp. 213–230). Scuola Normale Superiore. https://doi.org/10.1007/978-88-7642-431-1_9
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