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arXiv · 0806.2771

Stable length in stable groups

D. Kotschick
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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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D. Kotschick. 2008-06-17. Stable length in stable groups. https://arxiv.org/abs/0806.2771

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