The lower central series of a right-angled Artin group

Details The lower central series of a right-angled Artin group The lower central series of a right-angled Artin group

2011-09-08

arxiv.org/abs/1109.1722v1

Mathematics

Group Theory

22 pages, 1 figure

Scientific paper

We give a description of 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 settings gives a simple algorithm to find a basis for
consecutive quotients of the lower central series of a RAAG.

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