Finitely generated infinite simple groups of infinite square width and vanishing stable commutator length

Alexey Muranov (1)

1 IMT - Institut de Mathématiques de Toulouse UMR5219

It is shown that there exist finitely generated infinite simple groups of infinite commutator width and infinite square width on which there exists no stably unbounded conjugation-invariant norm, and in particular stable commutator length vanishes. Moreover, a recursive presentation of such a group with decidable word and conjugacy problems is constructed.

Domaines: Théorie des groupes [math.GR]

Alexey Muranov. Finitely generated infinite simple groups of infinite square width and vanishing stable commutator length. Journal of Topology and Analysis, 2010, 2 (3), pp.341--384. ⟨10.1142/S1793525310000380⟩. ⟨hal-00629614⟩