Dieudonne Rings

The mod 2 Hopf ring for connective Morava K-theory

This paper examines the mod 2 homology of the spaces in the Omega-spectrum 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 …

The connective real K-theory of Brown-Gitler spectra

We calculate the connective real $K$-theory homology of the mod 2 Brown-Gitler spectra. We use this calculation and the theory of Dieudonné rings and Hopf rings to determine the mod 2 homology of the spaces in the connective $\Omega$-spectrum for …