Abstract:Abstract. We give simple proofs of some relations in the Steenrod algebra involving the powers P i and their duals χP i and show how these relations arise from K-theory.
The relations of Barratt and Miller are shown to include all relations among the elements P i P n i in the mod p Steenrod algebra, and a minimal set of relations is given.55S10
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.