Open AccessStable length in stable groups
Author(s) -
D. Kotschick
Publication year - 2019
Publication title -
advanced studies in pure mathematics
Language(s) - English
Resource type - Conference proceedings
eISSN - 2433-8915
pISSN - 0920-1971
DOI - 10.2969/aspm/05210401
Subject(s) - commutator , homeomorphism (graph theory) , mathematics , group (periodic table) , pure mathematics , argument (complex analysis) , infinity , discrete mathematics , mathematical analysis , algebra over a field , physics , quantum mechanics , biochemistry , chemistry , lie conformal algebra
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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