# 群与图讨论班 Seminars on Groups and Graphs

You are here: Seminars > 2022

In 2022, this was a series of "Group Theory Seminars" mainly based at SUSTech, focusing on permutation groups and their connections to algebraic combinatorics. All talks were given online, with a few in hybrid style.

## Seminars 2022

A classification of finite groups with three automorphism orbits

Random walks on vertex-transitive graph with moderate growth
David Guo (University of Bristol), December 5th
On CI-property of normal circulant digraphs

An introduction to Erdős-Ko-Rado property for permutation groups

Irredundant bases for the primitive actions of the symmetric and the alternating groups

Non-commuting, non-generating graphs and intersection graphs of groups
Saul Freedman (University of St Andrews), October 10th
$$2$$-geodesic-transitive graphs of order $$p^n$$ with $$n\leqslant 3$$

On finite $$2$$-arc-transitive graphs

On $$2$$-arc-transitive graphs admitting a core-free transitive subgroup

Finite locally primitive 2-designs

Edge-transitive maps on non-orientable surfaces

Prime graphs and actions of primitive groups
Melissa Lee (University of Auckland), June 9th
Bases for primitive permutation groups

Groups with three automorphism orbits

Reflexible orientably-regular Cayley maps on nonabelian simple groups

Cubic graphical regular representations of non-abelian simple groups

Aldous' spectral gap conjecture and generalizations

On the order of vertex-primitive $$2$$-arc-transitive digraph besides directed cycles

On compatible groups

The $$\mathcal{C}_6$$ subgroups of finite classical groups

Regular orbits of primitive groups on power sets

The EKR property of permutation groups