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On the BP-homology of
2e ×
2e
Published online by Cambridge University Press: 23 July 2008
Abstract
We study υ0- and υ1-divisibility properties of the [2e]-series associated to the universal 2-typical formal group law. This allows us to identify elements annihilating the toral class τ in BP*(2e ×
2e). We conjecture that these elements form a minimal system of generators of the annihilator ideal of τ. This would provide a Landweber-type presentation for the BP-homology of
2e ×
2e from which the relation hom:dimBP (Z2e × Z2e) = 2 would be an easy consequence.
- Type
- Research Article
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- Copyright
- Copyright © ISOPP 2009
References
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