By Emily Stark
One type of rigidity theorem proves that a group’s geometry determines its algebra, typically up to virtual isomorphism. We study graphically discrete groups, which impose a discreteness criterion on the automorphism group of any graph the group acts on geometrically. It follows that if a graphically discrete group acts geometrically on the same locally finite graph as another group, then the two are virtually isomorphic. Classic examples of graphically discrete groups include virtually nilpotent groups and fundamental groups of closed hyperbolic manifolds. We will present new examples and demonstrate this property is not a quasi-isometry invariant. We will discuss rigidity phenomena for free products of graphically discrete groups. This is joint work with Alex Margolis, Sam Shepherd, and Daniel Woodhouse.
By Koji Fujiwara
By Emily Stark
By Kathryn Mann
By Pallavi Dani
By Carolyn Abbott
By Alice Kerr
By Jean Lecureux
By Nir Lazarovich
By Sam Shepherd
By Alessandro Sisto
By Stephen Coombes , Peter Liddle
By Ariane Trescases
By Olga Mula Hernandez
By François-Xavier Vialard
By François-Xavier Vialard
By Thibaut Le Gouic
By Elsa Cazelles
By Jean Feydy
