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arxiv: 1710.02392 · v2 · pith:Z4U7VQTRnew · submitted 2017-10-06 · 🧮 math.GR · math.GT

The cup product of Brooks quasimorphisms

classification 🧮 math.GR math.GT
keywords brooksproductquasimorphismsvanishingassociatedautomorphismboundedclass
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We prove the vanishing of the cup product of the bounded cohomology classes associated to any two Brooks quasimorphisms on the free group. This is a consequence of the vanishing of the square of a universal class for tree automorphism groups.

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