A presentation for Manin and Schechtman's higher braid groups

R.J. Lawrence

Abstract: Manin and Schechtman's higher braid groups B(n,k) are a generalisation of the ordinary pure braid groups P_n=B(n,1), in which the role that the symmetric group S_n plays in P_n is replaced by a weak Bruhat order. In this paper a family of concrete presentations of B(n,k) will be given, which generalise Artin's presentation of P_n.

Keywords: hyperplane arrangements, higher braid groups, monodromy representations

Length: 11 pages

Reference: MSRI preprint 04129--91 (April 1991)

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Last updated on June 11th, 2000.