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March 7, 2019Advanced studies in pure mathematics

Stable length in stable groups

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Abstract

We show that the stable commutator length vanishes for certain groups defined as infinite unions of smaller groups. The argument uses a group-theoretic analogue of the Mazur swindle, and goes back to the works of Anderson, Fisher, and Mather on homeomorphism groups.

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Cite This Study

D. Kotschick (2019) studied this question.

synapsesocial.com/papers/69d76101f182769aa8b8ada6 https://doi.org/10.2969/aspm/05210401

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