Minicourse Group Actions - Syllabus

Lecture 1: Transitive group actions, kernel, permutation group induced, action on right cosets and other examples of group actions, vertex-transitive graphs, affine groups and their actions, arc-transitive graphs, coset graphs, edge-transitive graphs, more coset graphs.

Lecture 2: Blocks, primitive groups, intransitive normal subgroups, quotient graphs, quasiprimitive groups, some well-known primitive actions, wreath products in product action, simple diagonal actions and interesting almost simple groups, overview of O'Nan-Scott Theorem.

Lecture 3: The "Normal quotient" philosophy.

Lecture 4: Application of material to locally s-arc transitive graphs.

Lecturers:

John Bamberg (University of Western Australia, Australia) (slides)

Michael Giudici (University of Western Australia, Australia) (slides)

Cheryl E. Praeger (University of Western Australia, Australia) (slides)