Volume 19, issue 1 (2019)

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The verbal width of acylindrically hyperbolic groups

Mladen Bestvina, Kenneth Bromberg and Koji Fujiwara

Algebraic & Geometric Topology 19 (2019) 477–489
Abstract

We show that the verbal width is infinite for acylindrically hyperbolic groups, which include hyperbolic groups, mapping class groups and $Out\left({F}_{n}\right)$.

Keywords
verbal subgroups, acylindrically hyperbolic groups, quasimorphisms
Mathematical Subject Classification 2010
Primary: 20F65, 20F67