## ULethbridge - Number Theory and Combinatorics Seminar: Soffía Árnadóttir

- Date: 12/01/2021
- Time: 13:30

University of Lethbridge

Cubic, Vertex Transitive Graphs with Infinite Vertex Stabilizers

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.

This talk is held in-person and online.

Time: 1:30pm Pacific / 2:30pm MT

Location: SA6006

Online: check website for meeting link