FINITELY GENERATED INFINITE SIMPLE GROUPSOF INFINITE SQUARE WIDTH AND VANISHINGSTABLE COMMUTATOR LENGTH

摘要

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