Abstract:This paper examines the mod 2 homology of the spaces in the Omegaspectrum for connective Morava K -theory, i.e., the mod 2 Hopf ring for connective Morava K -theory. A natural set of generators for this Hopf ring arising from the homology and homotopy of the connective Morava K -theory spectrum is calculated and the non-trivial circle product relations among the generators arising from homology and homotopy are determined. This Hopf ring calculation is accomplished using Dieudonné ring theory and Adams spectra… Show more
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