Topology Seminar: Ergun Yalcin

  • Date: 03/04/2015
  • Time: 15:15
Ergun Yalcin, Bilkent University and McMaster Univerisity

University of British Columbia


Finite group actions on homotopy spheres


We are interested in classifying all finite groups which can act  on a finite CW-complex homotopy equivalent to a sphere, such that all isotropy subgroups are rank one groups, i.e., they do not include Z/pxZ/p  for any prime p. The equivalent question for free actions (all isotropy subgroups are trivial) has been answered completely by the works of P.A. Smith and  R. Swan. For actions with rank one isotropy, we give a list of group theoretical conditions which guarantee the existence of such actions. Some of these conditions are necessary conditions depending on assumptions on fixed point subspaces. This is a joint work with Ian Hambleton.

Other Information: 

Location: ESB 4133