Kohls, M.Sezer, M.2015-07-282015-07-282013-06-110129-167Xhttp://hdl.handle.net/11693/13359We consider indecomposable representations of the Klein four group over a field of characteristic 2 and of a cyclic group of order pm with p, m coprime over a field of characteristic p. For each representation, we explicitly describe a separating set in the corresponding ring of invariants. Our construction is recursive and the separating sets we obtain consist of almost entirely orbit sums and products. © 2013 World Scientific Publishing CompanyEnglishCyclic groupsKlein four groupSeparating invariants13A50Article10.1142/S0129167X135004681793-6519