On the BP-homology of Z(2e) x Z2e

摘要

We study nu(0)- and nu(1-)divisibility properties of the [2(e)]-series associated to the universal 2-typical formal group law. This allows us to identify elements annihilating the toral class tau in BP*(Z(2e) X Z(2e)). We conjecture that these elements form a minimal system of generators of the annihilator ideal of tau. This would provide a Landweber-type presentation for the BP-homology of Z(2e) X Z(2e) from which the relation hom.dim(BP)(Z(2e) X Z(2e)) = 2 would be an easy consequence.