LAUSR

Course contents: In this course I will talk about maximal subgroups of the symmetric group, specifically the various types of maximal subgroups: intransitive, imprimitive, and primitive. I will work out several basic examples. Concerning primitive groups, I will talk about their important role in group theory and their connection with simple groups, characteristically simple groups, multiple transitivity, Jordan groups and the O’Nan-scott theorem, affine groups, almost-simple groups, product actions and diagonal actions. I will give applications in terms of recent research papers.