On the homology of the universal Steenrod algebra at odd primes

Abstract

We give an explicit description of the homology \(H_*({\mathcal {Q}})\) of the universal Steenrod algebra \({\mathcal {Q}}\) for any odd prime \(p\), extending the work done for the \(p=2\) case. We also exhibit an isomorphism with a certain coalgebra of invariants \(\Gamma \).