Harris, Morton E. Clifford theory for p-sections of finite groups. (English) Zbl 0667.20003 Fundam. Math. 131, No. 3, 257-264 (1988). In the paper under review the author is mainly interested in the following situation: K is a field of prime characteristic p and N is a normal subgroup of the finite group G such that G/N is a p-group. He proves that in this case, for any simple KN-module W, there is a unique (up to isomorphism) simple KG-module V such that W is a composition factor of \(V_ N\). Moreover, if W is G-stable then \(V_ N=W\). Similarly, for any block b of N, there is a unique block B of G covering b. These results are known for the case where K is a splitting field; but, as the author shows, this hypothesis is unnecessary. Reviewer: B.Külshammer Cited in 1 Document MSC: 20C05 Group rings of finite groups and their modules (group-theoretic aspects) 20C20 Modular representations and characters 16S34 Group rings Keywords:Clifford theory; p-group; simple KG-module; composition factor; block PDFBibTeX XMLCite \textit{M. E. Harris}, Fundam. Math. 131, No. 3, 257--264 (1988; Zbl 0667.20003) Full Text: DOI EuDML