2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76063We study the representations of the commutator subgroup of the braid group with n strands in the symmetric group of degree r. Motivated by some experimental results, we conjecture that for n>r, every such representation is trivial.Group TheoryCombinatoricsMSC2000 : 20F36; 20C40; 20E07Permutation representations of the braid group commutator subgrouptext