"Finite Group Actions on Spheres with Rank One Isotropy"






(Bilkent University)




Abstract: In this talk I will present some recent results that we obtained joint with Ian Hambleton on finite group actions on spheres. The problem that we are interested in is to classify all finite groups that can act on a finite CW-complex homotopy equivalent to a sphere with rank one isotropy. We were able to find some conditions on rank two finite groups which allow us to construct such actions with rank one prime power isotropy. The main technical result is a construction method that gives actions on finite homotopy spheres of a finite group G when one is provided with a family of representations of Sylow p-subgroups of G which respect fusion in G.



Date:  Monday, March  18, 2013

Time: 13.40-14.30

Place: Mathematics Seminar Room, SA-141



All are most cordially invited.
Tea and cookies will be served after the talk.