3 papers
math.GR2023
Negative Immersions and Finite Height Mappings
Brahim Abdenbi, Daniel T. Wise
Given a monomorphism where is a proper free factor of the free group , we show the associated mapping torus of…
math.CO2023
On Unique Factorization of Non-periodic Words
Brahim Abdenbi
Given a bi-order on the free group , we show that every non-periodic cyclically reduced word admits a maximal ascent that is uniquely positi…
math.GR2022
Generalized echelon subgroups
Brahim Abdenbi
We study inert and compressed subgroups of free groups and provide a generalization of echelon subgroups.