%0 Journal Article
%T Finitely generated infinite simple groups of infinite commutator width
%+ Institut Camille Jordan (ICJ)
%A Muranov, Alexey
%Z 53 pages, 2 dessins, 2 théorèmes, 46 définitions, 4 remarques de moindre importance.
%< avec comité de lecture
%@ 0218-1967
%J International Journal of Algebra and Computation
%I World Scientific Publishing
%V 17
%N 3
%P 607--659
%8 2007
%D 2007
%Z math/0608688
%R 10.1142/S0218196707003767
%K Groupe simple
%K largeur de commutateurs
%K diagramme de van Kampen
%Z AMSC : 20E32, 20F05, 20F06
%Z Mathematics [math]/Group Theory [math.GR]Journal articles
%X 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.
%G English
%L hal-00636475
%U https://hal.science/hal-00636475
%~ UNIV-ST-ETIENNE
%~ CNRS
%~ ICJ
%~ UNIV-LYON1
%~ INSA-LYON
%~ EC-LYON
%~ INSA-GROUPE
%~ UDL
%~ UNIV-LYON