Hambleton, I.Pamuk, S.Yalçın, E.2015-07-282015-07-2820130010-2571http://hdl.handle.net/11693/12072We give a general framework for studying G-CW complexes via the orbit category. As an application we show that the symmetric group G D S5 admits a finite G-CW complex X homotopy equivalent to a sphere, with cyclic isotropy subgroups. © Swiss Mathematical Society.EnglishArticle10.4171/CMH/2891420-8946