The mod2 Steenrod and Dyer-Lashof algebras as quotients of a free algebra
Abstract
A non-connected neither of finite type Hopf algebra F0 is defined over Z/ 2Z and its hom dual turns out to be a tensor product of polynomial algebras. Certain quotient Hopf algebras include the Steenrod and Dyer-Lashof algebras. This setting provides a map between the Steenrod coalgebra and a direct limit of Dyer-Lashof coalgebras.
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