Geodesic
The verbal width of acylindrically hyperbolic groups
Bestvina, Mladen1 ; Bromberg, Kenneth1 ; Fujiwara, Koji2
1 Department of Mathematics, University of Utah, Salt Lake City, UT, United States
2 Department of Mathematics, Kyoto University, Kyoto, Japan
Algebraic and Geometric Topology, Tome 19 (2019) no. 1, pp. 477-489

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

We show that the verbal width is infinite for acylindrically hyperbolic groups, which include hyperbolic groups, mapping class groups and Out(Fn).

DOI : 10.2140/agt.2019.19.477
Classification : 20F65, 20F67
Keywords: verbal subgroups, acylindrically hyperbolic groups, quasimorphisms

Bestvina, Mladen 1 ; Bromberg, Kenneth 1 ; Fujiwara, Koji 2

1 Department of Mathematics, University of Utah, Salt Lake City, UT, United States
2 Department of Mathematics, Kyoto University, Kyoto, Japan 
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Bestvina, Mladen; Bromberg, Kenneth; Fujiwara, Koji. The verbal width of acylindrically hyperbolic groups. Algebraic and Geometric Topology, Tome 19 (2019) no. 1, pp. 477-489. doi: 10.2140/agt.2019.19.477

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