Automorphism Groups

Topics

Theory of infinite permutation groups: automorphism groups,  homogeneous structures, oligomorphic permutation groups, Polish groups, reconstruction of topology, extreme amenability, and structural Ramsey theory.  

Times

Teilnahme

Please register in Selma. If this is impossible: please write me an email if you are interested in participating. 

Literature

The course follows the Course Notes which will be provided chapter by chapter during the course. Additional recommended reading:

• The book "Permutation groups'' by Peter Cameron (Cambridge University Press) is mainly about finite Permutation groups, but Chapter 5 is devoted to oligomorphic permutation groups, that play a particularly important role in this course.
• Peter Cameron also wrote the small book with the title "Oligomorphic Permutation Groups'' (Cambridge University Press) geschrieben, which I recommend warmly.
• The book "Permutation Groups'' of John Dixon and Brian Mortimer (Springer) has even less material about infinite permutation groups.
• The book with the title "Infinite Permutation Groups'' by Bhattacharjee, Macpherson, Möller, und Neumann (Springer). Warning: it does not cover the topological aspects of the topic.
• Particularly relevant (perhaps not visible from the title) is the wonderful book "Model Theory" by Wilfrid Hodges (Cambridge University Press); it contains a lot of material about automorphism groups. It is very accessible for students. The book also exists in a cheaper (but cut-down) version in paper back format, with the title "A shorter model theory" (Cambridge University Press).

Exercises

Part of the course are exercise sessions. TBA.