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arxiv: 0806.2771 · v1 · pith:BCS33YANnew · submitted 2008-06-17 · 🧮 math.GR · math.GT

Stable length in stable groups

classification 🧮 math.GR math.GT
keywords groupsstablelengthanalogueandersonargumentbackcertain
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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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