Abstract
We show the existence of several new infinite families of polynomially-growing automorphisms of free groups whose mapping tori are CAT(0) free-by-cyclic groups. Such mapping tori are thick, and thus not relatively hyperbolic. These are the first families comprising infinitely many examples for each rank of the nonabelian free group; they contrast strongly with Gersten’s example of a thick free-by-cyclic group which cannot be a subgroup of a CAT(0) group.
Citation
Rylee Alanza Lyman. "Some New CAT(0) Free-by-Cyclic Groups." Michigan Math. J. 73 (3) 621 - 630, July 2023. https://doi.org/10.1307/mmj/20205989
Information