%0 Journal Article
%T Finitely generated infinite simple groups of infinite square width and vanishing stable commutator length
%+ Institut de Mathématiques de Toulouse UMR5219 (IMT)
%A Muranov, Alexey
%Z 44 pages, 6 dessins.
%< avec comité de lecture
%@ 1793-5253
%J Journal of Topology and Analysis
%I World Scientific
%V 2
%N 3
%P 341--384
%8 2010-09
%D 2010
%Z 0909.2294
%R 10.1142/S1793525310000380
%Z 20F06, 20E32, 20J06
%Z Mathematics [math]/Group Theory [math.GR]Journal articles
%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.
%G English
%L hal-00629614
%U https://hal.science/hal-00629614
%~ UNIV-TLSE2
%~ UNIV-TLSE3
%~ CNRS
%~ INSA-TOULOUSE
%~ INSMI
%~ IMT
%~ UT1-CAPITOLE
%~ INSA-GROUPE
%~ UNIV-UT3
%~ UT3-INP
%~ UT3-TOULOUSEINP