Finitely generated infinite simple groups of infinite commutator width

Details Finitely generated infinite simple groups of infinite commutator width Finitely generated infinite simple groups of infinite commutator width

2006-08-28

arxiv.org/abs/math/0608688v4

International Journal of Algebra and Computation, Vol. 17, No. 3 (2007) 607--659

Mathematics

Group Theory

v4: 49 pages, 2 figures, a couple of obvious mistakes corrected; v3: 49 pages, 2 figures; multiple corrections and improvement

Scientific paper

10.1142/S0218196707003767

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.

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