KnotInfo
  KnotInfo Home Knot Theory Calculators Home
Braid Group Calculator
Check the type of braid computation you want to do.

Left Normal Form Right Normal Form Permutation Conjugacy Test
Crossing Numbers Least Common Multiple Greatest Common Divisor Centralizer
Super Summit Set Ultra Summit Set

Braid Function Definitions

Instructions: Enter the number of strands in your braid simply as a positive integer. Enter a braid as a string of integers, separated by single spaces. Enter the optional powers as integers. For instance, if the braid has 4 strands, an example of a braid would be "2 3 -1 2 -1 3 3". A half twist can be denoted by the integer giving the number of strands. For example, if a braid has 3 strands and if D denotes the half-twist, then for inputing data the braid "1 2 -1 D -2" would be entered as "1 2 -1 3 -2".
Warning: this page is under construction.



This web page implements a C++ program based on those written by Juan Gonzalez-Meneses and Jae Choon Cha. The web page was designed and written with help from Michael Durbin.