Martin David Palmer -- Preprint -- When the lower central series stops
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When the lower central series stops
with Jacques Darné and Arthur Soulié
(v1: 2022)

arXiv: abspdf
v1

Abstract

Our aim here is to showcase several techniques for studying the lower central series of a group and, in particular, for determining whether or not it stops. We apply these techniques to various groups related to braid groups, in particular Artin groups, surface braid groups, groups of welded and virtual braids and partitioned versions of all of these groups.