Abstract
In this paper, we study the interaction between transferred Chern classes and Chern classes of transferred bundles. We calculate the algebra \( B{P^{*}}\left( {X_{{h\varSigma p}}^p} \right) \) and show that its multiplicative structure is completely determined by the Frobenius reciprocity. We also give some tables of the initial segments of the formal group law in the Morava K-theory which are often useful in calculations.
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