JournalslemVol. 61, No. 3/4pp. 343–371

The lower central series of a right-angled Artin group

  • Richard D. Wade

    University of British Columbia, Vancouver, Canada
The lower central series of a right-angled Artin group cover
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Abstract

We give a description of Droms, Duchamp and Krob’s extension of Magnus’ approach to the lower central series of the free group to right-angled Artin groups. We also describe how Lalonde’s extension of Lyndon words to the partially commutative setting gives a simple algorithm to find a basis for consecutive quotients of the lower central series of a RAAG.

Cite this article

Richard D. Wade, The lower central series of a right-angled Artin group. Enseign. Math. 61 (2015), no. 3/4, pp. 343–371

DOI 10.4171/LEM/61-3/4-4