Homological algebra in the category of Gamma-modules

摘要

We study homological algebra in the abelian category Gamma, whose objects are functors from finite pointed sets to vector spaces over F-p. The full calculation of Tor(*)(Gamma)-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.