arXiv:1109.1722 Abstract | arXiv Analytics

arXiv:1109.1722 [math.GR]Abstract References Reviews Resources

The lower central series of a right-angled Artin group

Published 2011-09-08, updated 2015-06-11Version 2

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.

Comments: 22 pages, 1 figure. Final arXiv version. To appear in Ens. Math

Categories: math.GR

Subjects: 20F36, 20F14

Keywords: lower central series, right-angled artin group, krobs extension, free group, lalondes extension

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