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Introduction

A module over a group algebra, K[G], where K is a field and G is a group, is an important special case of modules over an algebra. This case coincides with the theory of group representations. Magma provides extensive machinery for constructing K[G]-modules. It should be noted however, that some advanced functions apply only when K is a finite field.

In this chapter the machinery for constructions peculiar to K[G]-modules will be described. In addition, a number of operations that apply only to K[G]-modules are described. All of the operations for A-modules also apply to K[G]-modules and are not repeated in this chapter.

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Version: V2.19 of Wed Apr 24 15:09:57 EST 2013