The homology of the connective K-theory spectrum as an image (1)-module Original Research Article

From an odd prime p, let l be the Adams Summand of p-local connective K-theory and image (1) the subalgebra of the mod p Steenrod algebra generated by Q0 and the first Steenrod power image1. The algebra image (1) is an explicitly understood Hopf algebra over imagep of imagep-dimension 4p. The mod p homology H*(l) of l is a tensor product of a polynomial algebra on countably many generators with an exterior algebra on countably many generators. We describe H*(l) as an image (1)-module.