(University of British Columbia at Vancouver)
Abstract: Let G be a discrete group. I will construct certain subspaces B(q,G) of the usual classifying space BG that are obtained from the descending central series of free groups. When q=2 these spaces capture information about the commutativity in G. I will describe a group theoretic condition which implies that the space B(2,G) is not an Eilenberg-Maclane space of type K(\pi,1). This applies to examples including extraspecial pgroups, symmetric groups, and general linear groups.
Date: Thursday, June 12, 2014
Place: Mathematics Seminar Room, SA-141
All are most cordially invited.
Tea and cookies will be served after the talk.