3 papers
math.GR2025
Finite approximation of free groups II: the Theorems of Ash, Herwig-Lascar and Ribes-Zalesskii -- revisited and strengthened
K. Auinger, J. Bitterlich, M. Otto
Relations and interactions between the theorems of Ash, Herwig--Lascar and Ribes--Zalesskii are discussed and it is shown that these three theorems are equivalent in the sense that…
math.GR2022
Finite approximation of free groups I: the -inverse cover problem
K. Auinger, J. Bitterlich, M. Otto
For a finite connected graph with set of edges , a finite -generated group is constructed such that the set of relations satisfied by (with a…
math.GR2018
Finite F-inveres covers do exist
Julian Bitterlich
We show that every finite inverse monoid has an idempotent-separating cover by a finite F-inverse monoid. This provides a positive answer to a conjecture of Henckell and Rhodes.