On the carrier of blocks (Q1200960)

Let \(F\) be an algebraically closed field of characteristic \(p > 0\), and let \(G\) be a finite \(p\)-solvable group. The main result of the paper under review shows that the block idempotent of a block of full defect in the group algebra \(FG\) is contained in \(FO_{p'}(G)\). This has recently been generalized by W. Willems to arbitrary groups where \(O_{p'}(G)\) has to be replaced by \(O_{p^*}(G)\).