The center of pure complex braid groups

Details The center of pure complex braid groups The center of pure complex braid groups

2011-03-15

arxiv.org/abs/1103.2898v2

Mathematics

Group Theory

Scientific paper

Brou\'e, Malle and Rouquier conjectured in that the center of the pure braid group of an irreducible finite complex reflection group is cyclic. We prove this conjecture, for the remaining exceptional types, using the analogous result for the full braid group due to Bessis, and we actually prove the stronger statement that any finite index subgroup of such braid group has cyclic center.

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