10 citations · 16 across the 7 of their papers we have counts for
8 papers
A Note on Invariantly Finitely -Presented Groups
René Hartung
In the first part of this note, we introduce Tietze transformations for -presentations. These transformations enable us to generalize Tietze's theorem for finitely presented gro…
Investigating self-similar groups using their finite -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…
A Reidemeister-Schreier theorem for finitely -presented groups
René Hartung
We prove a variant of the well-known Reidemeister-Schreier theorem for finitely -presented groups. More precisely, we prove that each finite index subgroup of a finitely -pre…
Approximating the Schur multiplier of certain infinitely presented groups via nilpotent quotients
René Hartung
We describe an algorithm for computing successive quotients of the Schur multiplier for a group given by an invariant finite -presentation. As application, we investi…
Coset enumeration for certain infinitely presented groups
René Hartung
We describe an algorithm that computes the index of a finitely generated subgroup in a finitely -presented group provided that this index is finite. This algorithm shows that th…
Refined solvable presentations for polycyclic groups
René Hartung, Gunnar Traustason
We describe a new type of polycyclic presentations, that we will call refined solvable presentations, for polycyclic groups. These presentations are obtained by refining a series o…