On the abstract images of profinite groups

25 November 2008
Nikolay Nikolov
I will discuss the following Conjecture B: Finitely generated abstract images of profinite groups are finite. I will explain how it relates to the width of words and conjugacy classes in finite groups. I will indicate a proof in the special case of 'non-universal' profinite groups and propose several directions for future work. This conjecture arose in my discussions with various participants of a workshop in Blaubeuren in May 2007 for which I am grateful. (You know who you are!)