The cohomology of finite abelian groups

Abstract

In this section we discuss some homological algebra which we specifically apply to the cohomology of finite groups. Most of our statements in the beginning parts are inspired by the pertinent sections in Cartan and Eilenberg [11], and are frequently contained there so that we have a convenient source of reference. If tensor products are not marked, they are understood to be taken over Z. If S is a ring with identity, A a right S-module and B a left S-module, then A⨂ s B denotes the tensor product over S in the usual sense.