Residual nilpotence for generalizations of pure braid groups

Details Residual nilpotence for generalizations of pure braid groups Residual nilpotence for generalizations of pure braid groups

2011-11-23

arxiv.org/abs/1111.5601v1

Mathematics

Group Theory

Scientific paper

It is known that the pure braid groups are residually torsion-free nilpotent. This property is however widely open for the most obvious generalizations of these groups, like pure Artin groups and like fundamental groups of hyperplane complements (even reflection ones). In this paper we relate this problem to the faithfulness of linear representations, and prove the residual torsion-free nilpotence for a few other groups.

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