Stable length in stable groups

Details Stable length in stable groups Stable length in stable groups

2008-06-17

arxiv.org/abs/0806.2771v1

Mathematics

Group Theory

Dedicated to Shigeyuki Morita on the occasion of his 60th birthday. To appear in Groups of Diffeomorphisms (Mathematical Socie

Scientific paper

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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