Finitely generated infinite simple groups of infinite commutator width
classification
🧮 math.GR
keywords
infinitecommutatorfinitelygeneratedsimplewidthgroupgroups
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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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