Relations in the Homotopy of Simplicial Abelian Hopf Algebras

@inproceedings{Turner1997RelationsIT,
  title={Relations in the Homotopy of Simplicial Abelian Hopf Algebras},
  author={James M. Turner},
  year={1997}
}
In this paper, we analyze the structure possessed by the homotopy groups of a simplicial abelian Hopf algebra over the field IF2 . 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 assumptions present in a Hopf algebra. Thesis Supervisor: Haynes R. Miller Title: Professor of Mathematics