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- W4230893428 abstract "Publisher SummaryThis chapter presents the detailed investigation of vertices and sources. These fundamental notions played an important role in studying indecomposable representations. The chapter focuses on a detailed investigation of covering groups of modules and their applications for the study of vertices. Vertices of inner and outer tensor products, generalized vertices and relative projectivity, and vertices of p-solvable groups are presented. It turns out that in the latter case, there is a close connection between the size of a vertex of a simple FG-module and the dimension of its projective cover. The chapter also presents generalizations of Higman's theory of relatively projective modules and Green's theory of vertices. In this, R denotes a commutative ring and G a finite group. All RG-modules are assumed to be finitely generated." @default.
- W4230893428 created "2022-05-11" @default.
- W4230893428 date "1995-01-01" @default.
- W4230893428 modified "2023-09-27" @default.
- W4230893428 title "Chapter 6: Vertices and Sources" @default.
- W4230893428 doi "https://doi.org/10.1016/s0304-0208(09)70104-5" @default.
- W4230893428 hasPublicationYear "1995" @default.
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