The relative exponential growth rate of subgroups of acylindrically hyperbolic groups
نویسندگان
چکیده
Abstract We introduce a new invariant of finitely generated groups, the ambiguity function, and we prove that every acylindrically hyperbolic group has linearly bounded function. use this result to relative exponential growth rate lim n → ∞ | B H X stretchy="false">( stretchy="false">) \lim_{n\to\infty}\sqrt[n]{\lvert\vphantom{1_{1}}{B^{X}_{H}(n)}\rvert} subgroup
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ژورنال
عنوان ژورنال: Journal of Group Theory
سال: 2021
ISSN: ['1435-4446', '1433-5883']
DOI: https://doi.org/10.1515/jgth-2020-0180