Permutation representations of the braid group commutator subgroup

Abdelouahab Arouche (1)

1 LATN-USTHB - Laboratoire d'algèbre et théorie des nombres

We 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.

Mots clés: braid group; commutator subgroup; representation; symmetric group

Domaines: Théorie des groupes [math.GR]; Combinatoire [math.CO]

Abdelouahab Arouche. Permutation representations of the braid group commutator subgroup. 2005. ⟨hal-00007972⟩