On the ku-homology of certain classifying spaces

Abstract

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.

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