Relatively Hyperbolic Groups with the Falsification by Fellow Traveler Property
Yago Antolin Pichel, Vanderbilt University
Location: Stevenson 1310
The falsification by fellow traveler property is a property of the Cayley graph of a group. It was introduced by Neumann and Shapiro, it has several implications. For example, it implies the regularity of the language of geodesics, the rationality of the growth series or having a quadratic Dehn function. I will explain how to find a generating set with the falsification by fellow traveler property for groups relatively hyperbolic to groups with a generating set with this property. This is a joint work with Laura Ciobanu.