3 papers
math.GR2026
Characterizing hierarchically hyperbolic free by cyclic groups
Eliot Bongiovanni, Pritam Ghosh, Funda Gültepe +1
We algebraically characterize free by cyclic groups that have coarse medians, and prove that this is equivalent to the a priori stronger properties of being colourable hierarchical…
math.GR2025
Geometry of extensions of free groups via automorphisms with fixed points on the complex of free factors
Pritam Ghosh, Funda Gültepe
We give conditions of an extension of a free group to be hyperbolic and relatively hyperbolic using the dynamics of the action of $\out$ on the complex of free factors combined wit…
math.GR2025
Relative hyperbolicity of free extensions of free groups
Pritam Ghosh, Funda Gültepe
We give necessary and sufficient conditions for a free-by-free group to be relatively hyperbolic with a cusp-preserving structure. Namely, if is a collection…