ULethbridge - Number Theory and Combinatorics Seminar: Soffía Árnadóttir

Consider a group G acting transitively on the vertices of an infinite, cubic (3-regular) graph Gamma such that the vertex stabilizers are infinite. We will see that if G is also edge-transitive on Gamma, then Gamma is the infinite cubic tree, and if not, then G has precisely two orbits on the edges. I will then focus on the latter case, with the added assumption that the graph has exactly two ends.

The talk is based on joint work with Waltraud Lederle and Rögnvaldur Möller, arxiv.org/abs/2101.04064.