On the ku-homology of certain classifying spaces

الأصل · EN

We calculate the ku-homology of the groups Z/pⁿ X Z/p and Z/p² X Z/p². We prove that for this kind of groups the ku-homology contains all the complex bordism information. We construct a set of generators of the annihilator of the ku-toral class. These elements also generates the annihilator of the BP-toral class.