Geometric Group Theory
‟Leighton’s property for $X_{m,n}$” by Maya Verma <maya.verma-1@ou.edu>, University of Oklahoma
‟Leighton’s property for $X_{m,n}$” by Maya Verma <maya.verma-1@ou.edu>, University of Oklahoma
‟Leighton’s property for $X_{m,n}$” by Maya Verma <maya.verma-1@ou.edu>, University of Oklahoma
‟Leighton’s property for $X_{m,n}$” by Maya Verma <maya.verma-1@ou.edu>, University of Oklahoma
Abstract:
In 1982, Leighton proved that any two finite graphs with a common cover admit a finite sheeted common cover. In this talk, I will introduce the combinatorial model $X_{m,n}$ for the Baumslag-Solitar group BS(m,n), and classify for which pairs of integers (m,n) Leighton’s theorem can be extended to the orbit space of covering actions on $X_{m,n}$.