Isomorphism Types of Maximal Cofinitary Groups

23 July 2008
14:30
Bart Kastermans
Abstract
Cofinitary groups are subgroups of the symmetric group on the natural numbers (elements are bijections from the natural numbers to the natural numbers, and the operation is composition) in which all elements other than the identity have at most finitely many fixed points. We will give a motivation for the question of which isomorphism types are possible for maximal cofinitary groups. And explain some of the results we achieved so far.