About Braids Snake Lemma Dihedral group Graph theory Siegel Plane Topology

Braid group

The braid group on n strands is the group whose elements are equivalence classes of braids and whose group operation is composition of braids end to end.

Two braids are equivalent if one can be transformed into the other without undoing the braid or having strands pass through each other.

The identity element is the trivial braid, in which the strands do not cross at all.
The inverse of a braid is given by its reflection over the horizontal bottom edge of that braid.

How to Use

Click and drag the strands to interweave them.

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