Braid group relations
= Braid group relations
{title2=$\sigma_i\sigma_{i+1}\sigma_i=\sigma_{i+1}\sigma_i\sigma_{i+1}$}
The generators $\sigma_i$ commute when $|i-j|>1$ and satisfy $\sigma_i\sigma_{i+1}\sigma_i=\sigma_{i+1}\sigma_i\sigma_{i+1}$. Unlike a symmetric-group presentation, there is no $\sigma_i^2=1$ relation.