Homotopy and homology of simplicial abelian Hopf algebras

Abstract.

Let A be a simplicial bicommutative Hopf algebra over the field $\mathbb{F}_2$ with the property that $\pi_0A \cong \mathbb{F}_2$. We show that $\pi_\ast A$ is a functor of the André-Quillen homology of A, where A is regarded as an $\mathbb{F}_2$ algebra. Then we give a method for calculating that André-Quillen homology independent of knowledge of $\pi_\ast A$.