Pure braid group:P3

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Definition

This group is the pure braid group of degree, denoted $P_{3}$. 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 $B_{3}$ to symmetric group:S3 that sends each braid to its induced permutation.

The group can also be defined by the following presentation:

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