When good groups go bad

When good groups go bad

Wed, 28/10/2009
11:30 		Owen Cotton-Barratt (University of Oxford) Algebra Kinderseminar Add to calendar ChCh, Tom Gate, Room 2
When good groups go bad
Much of group theory is concerned with whether one property entails another. When such a question is answered in the negative it is often via a pathological example. We will examine the Rips construction, an important tool for producing such pathologies, and touch upon a recent refinement of the construction and some applications. In the course of this we will introduce and consider the profinite topology on a group, various separability conditions, and decidability questions in groups.