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Mathematics

The Notion of a Braid Group and Its Representations

Quick fact

The braid group on n strands, denoted Bn, is an infinite group for n ≥ 2, and its connection to knot theory via the closure operation turns braids into a powerful tool for distinguishing knots and links.

Why this is interesting

You've likely braided hair or ropes, but did you know that the patterns of braiding form a group that has become a cornerstone of modern mathematics? What secrets do these tangled paths hold?