On the ku-homology of certain classifying spaces

Mathematics – Algebraic Topology

Scientific paper

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31 pages

Scientific paper

We calculate the ku-homology of the groups Z/p^n X Z/p and Z/p^2 X Z/p^2. 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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