Lower central series, surface braid groups, surjections and permutations
Lower central series, surface braid groups, surjections and permutations
Abstract Generalising previous results on classical braid groups by Artin and Lin, we determine the values of m , n ∈ $\mathbb N$ for which there exists a surjection between the n - and m -string braid groups of an orientable surface without boundary. This result is essentially based on …