Pure braid groups are not residually free

Daniel C. Cohen, Michael Falk, Richard Randell

Research output: Chapter in Book/Report/Conference proceedingChapter

2 Scopus citations


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.

Original languageEnglish (US)
Title of host publicationConfiguration Spaces
Subtitle of host publicationGeometry, Combinatorics and Topology
PublisherScuola Normale Superiore
Number of pages18
ISBN (Electronic)9788876424311
ISBN (Print)9788876424304
StatePublished - Jan 1 2012

ASJC Scopus subject areas

  • Mathematics(all)

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    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.