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- W4387561666 abstract "In this paper we establish upper bounds on the length of the shortest conjugator between pairs of elements in a wide class of groups. We obtain a general result which applies to all hierarchically hyperbolic groups: a class which includes mapping class groups, right angled Artin groups, Burger-Mozes-type groups, most 3-manifold groups, and many others. One case of our result in this setting is a linear bound on the length of the shortest conjugator for any pair of conjugate Morse elements. In a special case, namely, for virtually compact special cubical groups, we can prove a sharper result by obtaining a linear bound on the length of the shortest conjugator between any pair of infinite order elements. In a more general case, that of acylindrically hyperbolic groups, we establish an upper bound on the length of shortest conjugators, but in this generality the bound may not be linear." @default.
- W4387561666 created "2023-10-12" @default.
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- W4387561666 date "2018-08-28" @default.
- W4387561666 modified "2023-10-18" @default.
- W4387561666 title "Conjugator lengths in hierarchically hyperbolic groups" @default.
- W4387561666 doi "https://doi.org/10.48550/arxiv.1808.09604" @default.
- W4387561666 hasPublicationYear "2018" @default.
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