9-13 June 2013
Koper, Slovenia
UTC timezone
Non-universal commutator relations
Presented by Urban JEZERNIK
Type: Oral presentation
Track: Algebra
Content
It has been a longstanding goal of group theory to somehow
describe if not characterize finite p-groups. In the 1940's, P. Hall
proposed to tackle the problem by considering groups only up to their
commutator structure, a suggestion that has turned out to be quite
efficient. Many authors have since studied the relations between
commutators, in particular some universal ones via the exterior product
and more recently the Bogomolov multiplier. The commutators in a finite
group may however well be related in a non-universal manner. We will
take a look at the building blocks of these groups, i.e. minimal groups
possessing non-universal relations, and show how their restricted
structure enables a probabilistic study of the universality of
commutator relations.
Place
Location: Koper, Slovenia