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Finitely generated infinite simple groups of infinite commutator width

Alexey Muranov
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Abstract

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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Alexey Muranov. 2009-09-12. Finitely generated infinite simple groups of infinite commutator width. https://doi.org/10.1142/s0218196707003767

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