24 citations · 178 across the 25 of their papers we have counts for
5 papers · 2 filters
Mapping tori of free group automorphisms, and the Bieri-Neumann-Strebel invariant of graphs of groups
Christopher H. Cashen, Gilbert Levitt
Let be the mapping torus of a polynomially growing automorphism of a finitely generated free group. We determine which epimorphisms from to have finitely gener…
Virtual Geometricity is Rare
Christopher H. Cashen, Jason F. Manning
We present the results of computer experiments suggesting that the probability that a random multiword in a free group is virtually geometric decays to zero exponentially quickly i…
Growth Tight Actions of Product Groups
Christopher H. Cashen, Jing Tao
A group action on a metric space is called growth tight if the exponential growth rate of the group with respect to the induced pseudo-metric is strictly greater than that of its q…
Quasi-isometry Invariants from Decorated Trees of Cylinders of Two-Ended JSJ Decompositions
Christopher H. Cashen
We construct quasi-isometry invariants of a one-ended finitely presented group by considering the tree of cylinders of a two-ended JSJ decomposition of the group. When the group sa…
Growth Tight Actions
Goulnara N. Arzhantseva, Christopher H. Cashen, Jing Tao
We introduce and systematically study the concept of a growth tight action. This generalizes growth tightness for word metrics as initiated by Grigorchuk and de la Harpe. Given a f…