BraidPower

A braid raised to an integer power — its word repeated $k$ times, or the inverse's word repeated $|k|$ times when $k$ is negative.

BraidPower(braid, k)the word repeated $k$ times

Typed signatures

Type	Package	Applies
(expression<Braid> | string, integer) -> expression<Braid>	braid	always

Domain: Braids and knots

Examples

Basic #

$\sigma_1^3$, the trefoil's braid

live ↗

In$\mathrm{BraidPower}(\mathrm{Braid}(2, \bigl\lbrack1\bigr\rbrack), 3)$Out$\mathrm{Braid}(2, \bigl\lbrack1, 1, 1\bigr\rbrack)$

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Examples	1

See also: BraidProduct, BraidInverse