Eduard Schesler

collaborators

3 papers

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…

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

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