Pure braid groups are not residually free

Daniel C. Cohen, Michael J Falk, Richard Randell

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Citation (Scopus)

Abstract

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
Pages213-230
Number of pages18
ISBN (Electronic)9788876424311
ISBN (Print)9788876424304
StatePublished - Jan 1 2012

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Braid Group

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Cohen, D. C., Falk, M. J., & Randell, R. (2012). Pure braid groups are not residually free. In Configuration Spaces: Geometry, Combinatorics and Topology (pp. 213-230). Scuola Normale Superiore.

Pure braid groups are not residually free. / Cohen, Daniel C.; Falk, Michael J; Randell, Richard.

Configuration Spaces: Geometry, Combinatorics and Topology. Scuola Normale Superiore, 2012. p. 213-230.

Research output: Chapter in Book/Report/Conference proceedingChapter

Cohen, DC, Falk, MJ & Randell, R 2012, Pure braid groups are not residually free. in Configuration Spaces: Geometry, Combinatorics and Topology. Scuola Normale Superiore, pp. 213-230.
Cohen DC, Falk MJ, Randell R. Pure braid groups are not residually free. In Configuration Spaces: Geometry, Combinatorics and Topology. Scuola Normale Superiore. 2012. p. 213-230
Cohen, Daniel C. ; Falk, Michael J ; Randell, Richard. / Pure braid groups are not residually free. Configuration Spaces: Geometry, Combinatorics and Topology. Scuola Normale Superiore, 2012. pp. 213-230
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