Relations in the homotopy of simplicial abelian Hopf algebras Original Research Article

In this paper, we analyze the structure possessed by the homotopy groups of a simplicial abelian Hopf algebra over the field image2. Specifically, we review the higher-order structure that the homotopy groups of a simplicial commutative algebra and simplicial cocommutative coalgebra possess. We then demonstrate how these structures interact under the added conditions present in a Hopf algebra.