Finitely Generated Infinite Simple Groups of Infinite Commutator Width and Vanishing Stable Commutator Length
نویسنده
چکیده
It is shown that there exists a finitely generated infinite simple group of infinite commutator width and infinite square width in which every conjugation-invariant norm is stably bounded, and in particular stable commutator length vanishes. Moreover, a recursive presentation of such a group with decidable word and conjugacy problems is constructed.
منابع مشابه
Finitely Generated Infinite Simple Groups of Infinite Commutator Width
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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