(G.E. Bredon, Introduction to compact transformation groups, Chapter III, Theoorem 7.2) Theorem: Let $ X$ be a paracompact $ G$ -space with $ G$ finite group and let $ \pi :X\rightarrow X/G$ be the orbit map. If $ \Lambda $ is a field of characteristic zero or prime to $ \left\vert G\right\vert $ , thenRead more