Finitely generated infinite simple groups of infinite square width and vanishing stable commutator length

Details Finitely generated infinite simple groups of infinite square width and vanishing stable commutator length Finitely generated infinite simple groups of infinite square width and vanishing stable commutator length

2009-09-14

arxiv.org/abs/0909.2294v4

Journal of Topology and Analysis (JTA), Volume 2, Issue 3 (September 2010), pp. 341--384

Mathematics

Group Theory

v4: 41 pages, 6 figures rescaled at 120%; references updated, typos corrected, other minor corrections. v3: minor changes to t

Scientific paper

10.1142/S1793525310000380

It is shown that there exist finitely generated infinite simple groups of
infinite commutator width and infinite square width on which there exists no
stably unbounded conjugation-invariant norm, and in particular stable
commutator length vanishes. Moreover, a recursive presentation of such a group
with decidable word and conjugacy problems is constructed.

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