Equivariant CW-Complexes and the Orbit Category
  We give a general framework for studying G-CW complexes via the orbit category. As an application we show that the symmetric group G=S_5 admits a finite G-CW complex X homotopy equivalent to a sphere, with cyclic isotropy subgroups. 
Ian Hambleton, Semra Pamuk, and Ergun Yalcin