Simple Modules for Groups with Abelian Sylow 2-Subgroups are Algebraic
نویسنده
چکیده
The concept of an algebraic module originated with Alperin [1]. It can be thought of as an attempt to distinguish those modules whose tensor powers are ‘nice’ from those whose tensor powers are ‘uncontrollable’. Define a module to be algebraic if it satisfies a polynomial with integer coefficients in the Green ring. This is equivalent to the statement that for a module M there is a finite list of indecomposable modules M1, . . . ,Mn such that for every i, the module M ⊗i is isomorphic to a sum of the Mj. The main theorem in this article is the following.
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