4 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.GN2023
The Hrushovski Property for Compact Special Cube Complexes
Brahim Abdenbi, Daniel T. Wise
We show that any compact nonpositively curved cube complex embeds in a compact nonpositively curved cube complex where each combinatorial injective partial local isometry o…
math.GR2022
Generalized echelon subgroups
Brahim Abdenbi
We study inert and compressed subgroups of free groups and provide a generalization of echelon subgroups.