Phantom maps and purity in modular representation theory. III (Q1599089)

The author constructs a composite of two phantom maps between \(kG\)-modules which is not projective, whenever \(k\) is an uncountable field of characteristic \(p>0\) and \(G\) is a finite group of \(p\)-rank at least 2. This answers a question which had been left open in earlier papers of this series [for part II see Algebr. Represent. Theory 4, No. 4, 395-404 (2001; Zbl 0998.20004)]. In an appendix an error in part I [Fundam. Math. 161, No. 1-2, 37-91 (1999; Zbl 0944.20004)] is corrected.