René Hartung

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math.GR2012

A Note on Invariantly Finitely $L$ -Presented Groups

René Hartung

In the first part of this note, we introduce Tietze transformations for $L$ -presentations. These transformations enable us to generalize Tietze's theorem for finitely presented gro…

math.GR2012

Investigating self-similar groups using their finite $L$ -presentation

René Hartung

Self-similar groups provide a rich source of groups with interesting properties; e.g., infinite torsion groups (Burnside groups) and groups with an intermediate word growth. Variou…

math.GR2010

Solving linear equations over finitely generated abelian groups

René Hartung

We discuss various methods and their effectiveness for solving linear equations over finitely generated abelian groups. More precisely, if $φ : G \to H$ is a homomorphism of fin…

A Note on Invariantly Finitely L-Presented Groups

Investigating self-similar groups using their finite L-presentation

Solving linear equations over finitely generated abelian groups

A Note on Invariantly Finitely $L$ -Presented Groups

Investigating self-similar groups using their finite $L$ -presentation