Pure braid group:P3
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This group is the pure braid group of degree, denoted . It is a subgroup of braid group:B3 comprising those braids that induce the identity permutation. In other words, it is the kernel of the natural homomorphism from to symmetric group:S3 that sends each braid to its induced permutation.
The group can also be defined by the following presentation:PLACEHOLDER FOR INFORMATION TO BE FILLED IN: [SHOW MORE]