discipline

Pure Mathematics

subject

Permutation Groups

lecturers

Péter Hermann, Péter Pál Pálfy, József Pelikán

credits

2

period

 

curriculum

Basic notions to warm up: group action, stabilizers, orbits, blocks. Primitivity, 2-transitive and multiply transitive groups, sharp transitivity, Frobenius groups, Zassenhaus groups. The imprimitive and primitive action of the wreath product, the twisted wreath product. The structure of  primitive groups, the O’Nan-Scott theorem. Bounds  for the order and minimal degree of uniprimitive and 2-transitive groups.

literature

Dixon-Mortimer: Permutation groups

form of tuition

Lecture

mode of assessment

written/oral exam