Abstract
A non-connected neither of finite type Hopf algebra F0′ is defined over Z/pZ and its hom dual turns out to be a tensor product of polynomial algebras. Certain quotient Hopf algebras include the Steenrod (Ap′) and Dyer-Lashof (R′) subalgebras generated by Pi and Qi respectively. This setting provides a coalgebra map between Ap′ and a direct limit of Dyer-Lashof subcoalgebras.
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