5 papers · 1 filter
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…
A finitely presented group of non-uniform exponential growth
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 V.
A branch group with unsolvable conjugacy problem
Alex Bishop, Eduard Schesler
We prove that every finitely generated residually finite group can be embedded in a finitely generated branch group such that two elements in are conjugate in if a…
Infinitely presented simple groups separated by homological finiteness properties
Claudio Llosa Isenrich, Eduard Schesler, Xiaolei Wu
Given a finitely generated linear group over , we construct a simple group that has the same finiteness properties as and admits as a quasi-retract. As…
The Higman--Thompson groups are -generated
Eduard Schesler, Rachel Skipper, Xiaolei Wu
We provide a family of generating sets of the Higman--Thompson groups that are parametrized by certain sequences of elements in . These generating sets consi…