E. Schesler

activity

20162026

most citedAmenability and profinite completions of finitely generated groups

3 citations · 5 across the 13 of their papers we have counts for

collaborators

16 papers

quant-ph2026

Non-Hermitian Cooperation Induced Chern Insulator

Weiwei Zhu, Bingbing Wang, Mengxiang Xie +5

Conventional Chern insulators rely on breaking time-reversal symmetry via magnetic fields or synthetic gauge fields. Here we introduce a fundamentally different paradigm: a static…

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 $(T)$ . 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 $V$ . Our…

math.GR2025

A branch group with unsolvable conjugacy problem

Alex Bishop, Eduard Schesler

We prove that every finitely generated residually finite group $G$ can be embedded in a finitely generated branch group $Γ$ such that two elements in $G$ are conjugate in $G$ if an…

math.GR2025

Infinitely presented simple groups separated by homological finiteness properties

Claudio Llosa Isenrich, Eduard Schesler, Xiaolei Wu

Given a finitely generated linear group $G$ over $Q$ , we construct a simple group $Γ$ that has the same finiteness properties as $G$ and admits $G$ as a quasi-retract. As…

math.GR2024

The Higman--Thompson groups $V_{n}$ are $(2, 2, 2)$ -generated

Eduard Schesler, Rachel Skipper, Xiaolei Wu

We provide a family of generating sets $S_{α}$ of the Higman--Thompson groups $V_{n}$ that are parametrized by certain sequences $α$ of elements in $V_{n}$ . These generating sets consist…

math.GR2024

Finitely generated infinite torsion groups that are residually finite simple

Eduard Schesler

We show that every finitely generated residually finite torsion group $G$ embeds in a finitely generated torsion group $Γ$ that is residually finite simple. In particular we show t…

math.GR2024

Hereditarily just-infinite torsion groups with positive first $ℓ^{2}$ -Betti number

Steffen Kionke, Eduard Schesler

We present a new method to construct finitely generated, residually finite, infinite torsion groups. In contrast to known constructions, a profinite perspective enables us to contr…

math.GR2023

From telescopes to frames and simple groups

Steffen Kionke, Eduard Schesler

We introduce the notion of a telescope of groups. Very roughly a telescope is a directed system of groups that contains various commuting images of some fixed group $B$ . Telescopes…

math.GR2023

On representations of direct products and the bounded generation property of branch groups

Steffen Kionke, Eduard Schesler

We prove that the minimal representation dimension of a direct product $G$ of non-abelian groups $G_{1}, \dots, G_{n}$ is bounded below by $n + 1$ and thereby answer a question of Abért.…

math.GR2022★ 2 cited

Realizing residually finite groups as subgroups of branch groups

Steffen Kionke, Eduard Schesler

We prove that every finitely generated, residually finite group $G$ embeds into a finitely generated perfect branch group $Γ$ such that many properties of $G$ are preserved under t…

math.GR2022

Bounded subgroups of relatively finitely presented groups

Eduard Schesler

Given a finitely generated group $G$ that is relatively finitely presented with respect to a collection of peripheral subgroups, we prove that every infinite subgroup $H$ of $G$ th…

math.GR2022

The $Σ$ -invariants of $S$ -arithmetic subgroups of Borel groups

Eduard Schesler

Given a Chevalley group $G$ of classical type and a Borel subgroup $B \subseteq G$ , we compute the $Σ$ -invariants of the $S$ -arithmetic groups $\mathc…

math.GR2021

Random subcomplexes of finite buildings, and fibering of commutator subgroups of right-angled Coxeter groups

Eduard Schesler, Matthew C. B. Zaremsky

The main theme of this paper is higher virtual algebraic fibering properties of right-angled Coxeter groups (RACGs), with a special focus on those whose defining flag complex is a…

math.GR2021★ 3 cited

Amenability and profinite completions of finitely generated groups

Steffen Kionke, Eduard Schesler

This article explores the interplay between the finite quotients of finitely generated residually finite groups and the concept of amenability. We construct a finitely generated, r…

math.GR2016

The relative exponential growth rate of subgroups of acylindrically hyperbolic groups

Eduard Schesler

We introduce a new invariant of finitely generated groups, the ambiguity function, and prove that every finitely generated acylindrically hyperbolic group has a linearly bounded am…

Non-Hermitian Cooperation Induced Chern Insulator

An acylindrically hyperbolic group of non-uniform exponential growth

Non-uniform exponential growth and the decay of growth rates in growing dimensions

A branch group with unsolvable conjugacy problem

Infinitely presented simple groups separated by homological finiteness properties

The Higman--Thompson groups Vn​ are (2,2,2)-generated

Finitely generated infinite torsion groups that are residually finite simple

Hereditarily just-infinite torsion groups with positive first ℓ2-Betti number

From telescopes to frames and simple groups

On representations of direct products and the bounded generation property of branch groups

Realizing residually finite groups as subgroups of branch groups

Bounded subgroups of relatively finitely presented groups

The Σ-invariants of S-arithmetic subgroups of Borel groups

Random subcomplexes of finite buildings, and fibering of commutator subgroups of right-angled Coxeter groups

Amenability and profinite completions of finitely generated groups

The relative exponential growth rate of subgroups of acylindrically hyperbolic groups

The Higman--Thompson groups $V_{n}$ are $(2, 2, 2)$ -generated

Hereditarily just-infinite torsion groups with positive first $ℓ^{2}$ -Betti number

The $Σ$ -invariants of $S$ -arithmetic subgroups of Borel groups