%0 Journal Article %T Finitely generated infinite simple groups of infinite square width and vanishing stable commutator length %A Alexey Muranov %J Mathematics %D 2009 %I arXiv %R 10.1142/S1793525310000380 %X 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. %U http://arxiv.org/abs/0909.2294v4