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math.GR2026
Polynomial homological Dehn functions from non-proper actions
Roman Sauer, Jannis Weis
We establish a homological algebra framework for proving polynomiality of higher homological Dehn functions of groups. As an application, we show a combination theorem for polynomi…
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.GR2024
The algebraic cheap rebuilding property
Kevin Li, Clara Loeh, Marco Moraschini +2
We present an axiomatic approach to combination theorems for various homological properties of groups and, more generally, of chain complexes. Examples of such properties include a…