Steenrod Connections and Connectivity in $H$-Spaces
James P. Lin
Jan 1987 · American Mathematical Society: Memoirs of the American Mathematical Society Book 369 · American Mathematical Soc.
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Formulae for the action of the Steenrod algebra on the mod 2 cohomology of a finite [italic]H-space are calculated. These formulae imply that the first nonvanishing homotopy group for a finite [italic]H-space occurs in degrees 1, 3, 7, or 15. The Steenrod algebra structure also restricts the coalgebra structure of the cohomology and Hurewicz map.
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