Compact Engel Groups.

Yuri Medvedev
(York U.)

In 1992 Wilson and Zelmanov proved that a profinite Engel group is locally nilpotent. Here we prove the stronger result that every compact Engel group is locally nilpotent. In the talk we will discuss Wilson and Zelmanov's approach and give ideas of a new proof. As usual we will talk about open problems.