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math.GR2026
An acylindrically hyperbolic group of non-uniform exponential growth
Roman Sauer, Eduard Schesler
We show the existence of an acylindrically hyperbolic group that has non-uniform exponential growth and Kazhdan's property . The group is constructed as a common quotient of a…
math.GR2026
Non-uniform exponential growth and the decay of growth rates in growing dimensions
Roman Sauer, Eduard Schesler
We provide the first example of a finitely presented, and the first example of a simple, group of non-uniform exponential growth. The example is given by Thompson's group . Our…