Vipul: Created page with "{{particular group}} ==Definition== This group is the member of family::pure braid group of degree, denoted $P_3$ . It is a subgroup of braid group:B3 compris..."

2010-12-18T17:23:02Z

Created page with "{{particular group}} ==Definition== This group is the member of family::pure braid group of degree, denoted <math>P_3</math>. It is a subgroup of braid group:B3 compris..."

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{{particular group}}

==Definition==

This group is the [[member of family::pure braid group]] of degree, denoted <math>P_3</math>. 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 <math>B_3</math> to [[symmetric group:S3]] that sends each braid to its induced permutation.

The group can also be defined by the following [[presentation of a group|presentation]]:

{{fillin}}

Pure braid group:P3 - Revision history

Vipul: Created page with "{{particular group}} ==Definition== This group is the member of family::pure braid group of degree, denoted P_3. It is a subgroup of braid group:B3 compris..."

Vipul: Created page with "{{particular group}} ==Definition== This group is the member of family::pure braid group of degree, denoted $P_3$ . It is a subgroup of braid group:B3 compris..."