Homological Algebra in the Category of Γ-Modules#

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We study homological algebra in the abelian category , whose objects are functors from finite pointed sets to vector spaces over F p . The full calculation of -groups between functors of degree not exceeding p is presented. We compare our calculations with known results on homology of symmetric groups, Steenrod algebra, and functor homology computations in the abelian category ℱ of functors from vector spaces over F p to itself.