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arXiv · 2112.04458

Finitely generated simple left orderable groups with vanishing second bounded cohomology

Francesco Fournier-Facio·Yash Lodha
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Abstract

We prove that the finitely generated simple left orderable groups constructed by the second author with Hyde have vanishing second bounded cohomology, both with trivial real and trivial integral coefficients. As a consequence, these are the first examples of finitely generated non-indicable left orderable groups with vanishing second bounded cohomology. This answers Question 8 from the 2018 ICM proceedings article of Andr\'es Navas.

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Francesco Fournier-Facio, Yash Lodha. 2021-12-08. Finitely generated simple left orderable groups with vanishing second bounded cohomology. https://arxiv.org/abs/2112.04458

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