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

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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…

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

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

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