Simple Modules for Groups with Abelian Sylow 2-Subgroups are Algebraic
Abstract An algebraic module is a KG -module that satisfies a polynomial with integer coefficients, with addition and multiplication given by direct sum and tensor product. In this article we prove that if G is a group with abelian Sylow 2-subgroups and K is a field of characteristic 2, then every simple KG -module is algebraic.