Non-hyperbolic automatic groups and groups acting on CAT(0) cube complexes
Non-hyperbolic automatic groups and groups acting on CAT(0) cube complexes
We discuss a problem posed by Gersten: Is every automatic group which does not contain ℤ × ℤ subgroup, hyperbolic? To study this question, we define the notion of "n-track of length n", which is a structure like ℤ × ℤ, and prove its existence in the non-hyperbolic automatic groups …