\centerline{Homotopy Theory of Simplicial Abelian Hopf Algebras}
\centerline{Paul Goerss and James Turner}
\centerline{\bf Abstract}
\smallskip
We examine the homotopy theory of simplicial graded abelian Hopf algebras
over a prime field $F_p$, $p>0$, proving that two very different notions
of weak equivalence yield the same homotopy category. We then prove a
splitting result for the Postnikov tower of such simplicial Hopf algebras.
As an application, we show how to recover the homotopy groups of a
simplicial Hopf algebra from its Andr\'e-Quillen homology, which, in turn,
can be easily computed from the homotopy groups of the associated simplicial
Dieudonn\'e module.
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