Finitely generated infinite simple groups of infinite commutator width

Alexey Muranov (1)

1 ICJ - Institut Camille Jordan

It is shown that there exists a finitely generated infinite simple group of infinite commutator width, and that the commutator width of a finitely generated infinite boundedly simple group can be arbitrarily large. Besides, such groups can be constructed with decidable word and conjugacy problems.

Mots clés: Groupe simple; largeur de commutateurs; diagramme de van Kampen

Domaines: Théorie des groupes [math.GR]

Alexey Muranov. Finitely generated infinite simple groups of infinite commutator width. International Journal of Algebra and Computation, 2007, 17 (3), pp.607--659. ⟨10.1142/S0218196707003767⟩. ⟨hal-00636475⟩